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381694456 = 2311131093061
BaseRepresentation
bin10110110000000…
…011000111111000
3222121020002100201
4112300003013320
51240203210311
6101513011544
712313230553
oct2660030770
9877202321
10381694456
11186502770
12a79b3bb4
1361102510
143899b69a
15237999c1
hex16c031f8

381694456 has 64 divisors (see below), whose sum is σ = 848786400. Its totient is φ = 158630400.

The previous prime is 381694447. The next prime is 381694457. The reversal of 381694456 is 654496183.

It is a super-2 number, since 2×3816944562 = 291381315482271872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381694457) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123166 + ... + 126226.

Almost surely, 2381694456 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 381694456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424393200).

381694456 is an abundant number, since it is smaller than the sum of its proper divisors (467091944).

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

381694456 is a wasteful number, since it uses less digits than its factorization.

381694456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3196 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 381694456 is about 19537.0022265444. The cubic root of 381694456 is about 725.3906454392.

The spelling of 381694456 in words is "three hundred eighty-one million, six hundred ninety-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 109 143 218 286 436 572 872 1144 1199 1417 2398 2834 3061 4796 5668 6122 9592 11336 12244 15587 24488 31174 33671 39793 62348 67342 79586 124696 134684 159172 269368 318344 333649 437723 667298 875446 1334596 1750892 2669192 3501784 3670139 4337437 7340278 8674874 14680556 17349748 29361112 34699496 47711807 95423614 190847228 381694456