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399764304 = 24322923301
BaseRepresentation
bin10111110100111…
…110101101010000
31000212020010112100
4113310332231100
51304314424204
6103400200400
712622640412
oct2764765520
91025203470
10399764304
11195724925
12b1a69100
1364a8b234
143b1429b2
1525168a39
hex17d3eb50

399764304 has 90 divisors (see below), whose sum is σ = 1159044926. Its totient is φ = 128620800.

The previous prime is 399764303. The next prime is 399764327. The reversal of 399764304 is 403467993.

It can be written as a sum of positive squares in 3 ways, for example, as 26501904 + 373262400 = 5148^2 + 19320^2 .

It is a super-2 number, since 2×3997643042 = 319622997505208832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 399764304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399764303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 119454 + ... + 122754.

Almost surely, 2399764304 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 399764304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579522463).

399764304 is an abundant number, since it is smaller than the sum of its proper divisors (759280622).

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

399764304 is a wasteful number, since it uses less digits than its factorization.

399764304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 399764304 is about 19994.1067317347. The cubic root of 399764304 is about 736.6615527128.

The spelling of 399764304 in words is "three hundred ninety-nine million, seven hundred sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 841 1044 1392 1682 2088 2523 3301 3364 4176 5046 6602 6728 7569 9903 10092 13204 13456 15138 19806 20184 26408 29709 30276 39612 40368 52816 59418 60552 79224 95729 118836 121104 158448 191458 237672 287187 382916 475344 574374 765832 861561 1148748 1531664 1723122 2297496 2776141 3446244 4594992 5552282 6892488 8328423 11104564 13784976 16656846 22209128 24985269 33313692 44418256 49970538 66627384 99941076 133254768 199882152 399764304