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394470944 = 25753149223
BaseRepresentation
bin10111100000110…
…010011000100000
31000111021012101222
4113200302120200
51301441032234
6103050514212
712526643030
oct2740623040
91014235358
10394470944
1119273994a
12b0135968
1363956a7a
143a5658c0
152497042e
hex17832620

394470944 has 96 divisors (see below), whose sum is σ = 914457600. Its totient is φ = 164017152.

The previous prime is 394470917. The next prime is 394470971. The reversal of 394470944 is 449074493.

It is an interprime number because it is at equal distance from previous prime (394470917) and next prime (394470971).

It is a super-2 number, since 2×3944709442 = 311214651320502272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 394470895 and 394470904.

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, 1768817 + ... + 1769039.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2394470944 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 394470944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

394470944 is an abundant number, since it is smaller than the sum of its proper divisors (519986656).

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

394470944 is a wasteful number, since it uses less digits than its factorization.

394470944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 394470944 is about 19861.2926064745. The cubic root of 394470944 is about 733.3956670614.

The spelling of 394470944 in words is "three hundred ninety-four million, four hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 149 212 223 224 298 371 424 446 596 742 848 892 1043 1192 1484 1561 1696 1784 2086 2384 2968 3122 3568 4172 4768 5936 6244 7136 7897 8344 11819 11872 12488 15794 16688 23638 24976 31588 33227 33376 47276 49952 55279 63176 66454 82733 94552 110558 126352 132908 165466 189104 221116 232589 252704 265816 330932 378208 442232 465178 531632 661864 884464 930356 1063264 1323728 1761031 1768928 1860712 2647456 3522062 3721424 7044124 7442848 12327217 14088248 24654434 28176496 49308868 56352992 98617736 197235472 394470944