Search a number
-
+
380349388260 = 22355107731413
BaseRepresentation
bin1011000100011101001…
…01110001010111100100
31100100202012110212100000
411202032211301113210
522212423420411020
6450421411221300
736323261312532
oct5421645612744
91310665425300
10380349388260
1113733a34aa06
126186a2a7830
1329b3646432a
14145a2469152
159d61695090
hex588e9715e4

380349388260 has 144 divisors (see below), whose sum is σ = 1207640581056. Its totient is φ = 100478454912.

The previous prime is 380349388231. The next prime is 380349388313. The reversal of 380349388260 is 62883943083.

It is a happy number.

380349388260 is a `hidden beast` number, since 3 + 8 + 0 + 349 + 38 + 8 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 380349388197 and 380349388206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154314 + ... + 885726.

It is an arithmetic number, because the mean of its divisors is an integer number (8386392924).

Almost surely, 2380349388260 is an apocalyptic number.

380349388260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380349388260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603820290528).

380349388260 is an abundant number, since it is smaller than the sum of its proper divisors (827291192796).

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

380349388260 is a wasteful number, since it uses less digits than its factorization.

380349388260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731544 (or 731530 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 380349388260 in words is "three hundred eighty billion, three hundred forty-nine million, three hundred eighty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 243 270 321 324 405 428 486 535 540 642 810 963 972 1070 1215 1284 1605 1620 1926 2140 2430 2889 3210 3852 4815 4860 5778 6420 8667 9630 11556 14445 17334 19260 26001 28890 34668 43335 52002 57780 86670 104004 130005 173340 260010 520020 731413 1462826 2194239 2925652 3657065 4388478 6582717 7314130 8776956 10971195 13165434 14628260 19748151 21942390 26330868 32913585 39496302 43884780 59244453 65827170 78261191 78992604 98740755 118488906 131654340 156522382 177733359 197481510 234783573 236977812 296222265 313044764 355466718 391305955 394963020 469567146 592444530 704350719 710933436 782611910 888666795 939134292 1173917865 1184889060 1408701438 1565223820 1777333590 2113052157 2347835730 2817402876 3521753595 3554667180 4226104314 4695671460 6339156471 7043507190 8452208628 10565260785 12678312942 14087014380 19017469413 21130521570 25356625884 31695782355 38034938826 42261043140 63391564710 76069877652 95087347065 126783129420 190174694130 380349388260