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379317627 = 3313297857
BaseRepresentation
bin10110100110111…
…110110101111011
3222102202022222000
4112212332311323
51234101131002
6101350032043
712254101203
oct2646766573
9872668860
10379317627
11185129a47
12a7048623
136077c700
143853d403
152347a61c
hex169bed7b

379317627 has 48 divisors (see below), whose sum is σ = 615494880. Its totient is φ = 230750208.

The previous prime is 379317613. The next prime is 379317637. The reversal of 379317627 is 726713973.

379317627 is a `hidden beast` number, since 3 + 7 + 9 + 3 + 17 + 627 = 666.

It is not a de Polignac number, because 379317627 - 24 = 379317611 is a prime.

It is a super-2 number, since 2×3793176272 = 287763724305822258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379317607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442183 + ... + 443039.

It is an arithmetic number, because the mean of its divisors is an integer number (12822810).

Almost surely, 2379317627 is an apocalyptic number.

379317627 is a deficient number, since it is larger than the sum of its proper divisors (236177253).

379317627 is a wasteful number, since it uses less digits than its factorization.

379317627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 970 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 379317627 is about 19476.0783270144. The cubic root of 379317627 is about 723.8818289219.

The spelling of 379317627 in words is "three hundred seventy-nine million, three hundred seventeen thousand, six hundred twenty-seven".

Divisors: 1 3 9 13 27 39 97 117 169 291 351 507 857 873 1261 1521 2571 2619 3783 4563 7713 11141 11349 16393 23139 33423 34047 49179 83129 100269 144833 147537 249387 300807 434499 442611 748161 1080677 1303497 2244483 3242031 3910491 9726093 14048801 29178279 42146403 126439209 379317627