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380187264 = 27319107487
BaseRepresentation
bin10110101010010…
…011001010000000
3222111101111212210
4112222103022000
51234311443024
6101420422120
712264352452
oct2652231200
9874344783
10380187264
11185673356
12a73a7940
13609c54a2
14386c82d2
152359d129
hex16a93280

380187264 has 128 divisors (see below), whose sum is σ = 1075161600. Its totient is φ = 118692864.

The previous prime is 380187251. The next prime is 380187281. The reversal of 380187264 is 462781083.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780429 + ... + 780915.

It is an arithmetic number, because the mean of its divisors is an integer number (8399700).

Almost surely, 2380187264 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 380187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537580800).

380187264 is an abundant number, since it is smaller than the sum of its proper divisors (694974336).

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

380187264 is a wasteful number, since it uses less digits than its factorization.

380187264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 380187264 is about 19498.3913182601. The cubic root of 380187264 is about 724.4346057214.

The spelling of 380187264 in words is "three hundred eighty million, one hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 107 114 128 152 192 214 228 304 321 384 428 456 487 608 642 856 912 974 1216 1284 1461 1712 1824 1948 2033 2432 2568 2922 3424 3648 3896 4066 5136 5844 6099 6848 7296 7792 8132 9253 10272 11688 12198 13696 15584 16264 18506 20544 23376 24396 27759 31168 32528 37012 41088 46752 48792 52109 55518 62336 65056 74024 93504 97584 104218 111036 130112 148048 156327 187008 195168 208436 222072 260224 296096 312654 390336 416872 444144 592192 625308 780672 833744 888288 990071 1184384 1250616 1667488 1776576 1980142 2501232 2970213 3334976 3553152 3960284 5002464 5940426 6669952 7920568 10004928 11880852 15841136 20009856 23761704 31682272 47523408 63364544 95046816 126729088 190093632 380187264