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2386421136 = 2433112917317
BaseRepresentation
bin1000111000111101…
…1110010110010000
320011022110202101000
42032033132112100
514341410434021
61032445142000
7113065150011
oct21617362620
96138422330
102386421136
111015088580
1256725a900
132c0543118
14188d27008
15de792b26
hex8e3de590

2386421136 has 160 divisors (see below), whose sum is σ = 7730755200. Its totient is φ = 698181120.

The previous prime is 2386421131. The next prime is 2386421159. The reversal of 2386421136 is 6311246832.

2386421136 is a `hidden beast` number, since 2 + 3 + 8 + 642 + 1 + 1 + 3 + 6 = 666.

2386421136 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2386421136.

It is not an unprimeable number, because it can be changed into a prime (2386421131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129150 + ... + 146466.

It is an arithmetic number, because the mean of its divisors is an integer number (48317220).

Almost surely, 22386421136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2386421136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865377600).

2386421136 is an abundant number, since it is smaller than the sum of its proper divisors (5344334064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2386421136 is a wasteful number, since it uses less digits than its factorization.

2386421136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17374 (or 17362 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2386421136 is about 48851.0095699157. The cubic root of 2386421136 is about 1336.3360844269.

Adding to 2386421136 its reverse (6311246832), we get a palindrome (8697667968).

It can be divided in two parts, 238642 and 1136, that added together give a triangular number (239778 = T692).

The spelling of 2386421136 in words is "two billion, three hundred eighty-six million, four hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 396 432 464 522 528 594 638 696 783 792 957 1044 1188 1276 1392 1566 1584 1914 2088 2376 2552 2871 3132 3828 4176 4752 5104 5742 6264 7656 8613 11484 12528 15312 17226 17317 22968 34452 34634 45936 51951 68904 69268 103902 137808 138536 155853 190487 207804 277072 311706 380974 415608 467559 502193 571461 623412 761948 831216 935118 1004386 1142922 1246824 1506579 1523896 1714383 1870236 2008772 2285844 2493648 3013158 3047792 3428766 3740472 4017544 4519737 4571688 5143149 5524123 6026316 6857532 7480944 8035088 9039474 9143376 10286298 11048246 12052632 13559211 13715064 16572369 18078948 20572596 22096492 24105264 27118422 27430128 33144738 36157896 41145192 44192984 49717107 54236844 66289476 72315792 82290384 88385968 99434214 108473688 132578952 149151321 198868428 216947376 265157904 298302642 397736856 596605284 795473712 1193210568 2386421136