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379990272 = 2831926041
BaseRepresentation
bin10110101001100…
…011000100000000
3222111000111122210
4112221203010000
51234234142042
6101412302120
712262602234
oct2651430400
9874014583
10379990272
11185549352
12a7311940
136095691c
14386765c4
152355ea9c
hex16a63100

379990272 has 72 divisors (see below), whose sum is σ = 1064596960. Its totient is φ = 119992320.

The previous prime is 379990271. The next prime is 379990283. The reversal of 379990272 is 272099973.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (379990271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 27612.

Almost surely, 2379990272 is an apocalyptic number.

379990272 is a gapful number since it is divisible by the number (32) 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 379990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532298480).

379990272 is an abundant number, since it is smaller than the sum of its proper divisors (684606688).

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

379990272 is a wasteful number, since it uses less digits than its factorization.

379990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26079 (or 26065 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The square root of 379990272 is about 19493.3391700858. The cubic root of 379990272 is about 724.3094634646.

The spelling of 379990272 in words is "three hundred seventy-nine million, nine hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 26041 52082 78123 104164 156246 208328 312492 416656 494779 624984 833312 989558 1249968 1484337 1666624 1979116 2499936 2968674 3333248 3958232 4999872 5937348 6666496 7916464 9999744 11874696 15832928 19999488 23749392 31665856 47498784 63331712 94997568 126663424 189995136 379990272