Search a number
-
+
2384693136 = 2436729207
BaseRepresentation
bin1000111000100011…
…1000011110010000
320011012012222000000
42032020320132100
514340440140021
61032344130000
7113044362060
oct21610703620
96135188000
102384693136
111014108281
12566766900
132c0089737
141889d73a0
15de550b26
hex8e238790

2384693136 has 140 divisors (see below), whose sum is σ = 7917237312. Its totient is φ = 681317568.

The previous prime is 2384693119. The next prime is 2384693137. The reversal of 2384693136 is 6313964832.

It is a super-2 number, since 2×23846931362 = 11373522705771028992, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2384693091 and 2384693100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384693137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 67045 + ... + 96251.

Almost surely, 22384693136 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 2384693136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958618656).

2384693136 is an abundant number, since it is smaller than the sum of its proper divisors (5532544176).

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

2384693136 is an equidigital number, since it uses as much as digits as its factorization.

2384693136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29240 (or 29219 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 2384693136 is about 48833.3199362894. The cubic root of 2384693136 is about 1336.0134609661.

The spelling of 2384693136 in words is "two billion, three hundred eighty-four million, six hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 5103 5832 6804 9072 10206 11664 13608 20412 27216 29207 40824 58414 81648 87621 116828 175242 204449 233656 262863 350484 408898 467312 525726 613347 700968 788589 817796 1051452 1226694 1401936 1577178 1635592 1840041 2102904 2365767 2453388 3154356 3271184 3680082 4205808 4731534 4906776 5520123 6308712 7097301 7360164 9463068 9813552 11040246 12617424 14194602 14720328 16560369 18926136 21291903 22080492 28389204 29440656 33120738 37852272 42583806 44160984 49681107 56778408 66241476 85167612 88321968 99362214 113556816 132482952 149043321 170335224 198724428 264965904 298086642 340670448 397448856 596173284 794897712 1192346568 2384693136