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378181344 = 25329135841
BaseRepresentation
bin10110100010101…
…001011011100000
3222100121121021110
4112202221123200
51233303300334
6101305423320
712241326342
oct2642513340
9870547243
10378181344
11184523272
12a679ab40
1360472458
1438325292
1523303ae9
hex168a96e0

378181344 has 48 divisors (see below), whose sum is σ = 1026965520. Its totient is φ = 121712640.

The previous prime is 378181333. The next prime is 378181351. The reversal of 378181344 is 443181873.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3781813442 = 286042257899292672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 65137 + ... + 70704.

It is an arithmetic number, because the mean of its divisors is an integer number (21395115).

Almost surely, 2378181344 is an apocalyptic number.

It is an amenable number.

378181344 is an abundant number, since it is smaller than the sum of its proper divisors (648784176).

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

378181344 is a wasteful number, since it uses less digits than its factorization.

378181344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135883 (or 135875 counting only the distinct ones).

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

The square root of 378181344 is about 19446.8852004633. The cubic root of 378181344 is about 723.1582863859.

The spelling of 378181344 in words is "three hundred seventy-eight million, one hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 135841 271682 407523 543364 815046 1086728 1630092 2173456 3260184 3939389 4346912 6520368 7878778 11818167 13040736 15757556 23636334 31515112 47272668 63030224 94545336 126060448 189090672 378181344