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404680944 = 243313283
BaseRepresentation
bin11000000111101…
…111000011110000
31001012110220220010
4120013233003300
51312044242234
6104053414520
713012505553
oct3007570360
91035426803
10404680944
11198482868
12b363a440
1365ac00a5
143ba6269a
15257da6e9
hex181ef0f0

404680944 has 80 divisors (see below), whose sum is σ = 1084089344. Its totient is φ = 130080960.

The previous prime is 404680933. The next prime is 404680963. The reversal of 404680944 is 449086404.

It is a super-2 number, since 2×4046809442 = 327533332873462272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429827 + ... + 1430109.

Almost surely, 2404680944 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 404680944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542044672).

404680944 is an abundant number, since it is smaller than the sum of its proper divisors (679408400).

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

404680944 is an equidigital number, since it uses as much as digits as its factorization.

404680944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 404680944 is about 20116.6832256215. The cubic root of 404680944 is about 739.6692848973.

The spelling of 404680944 in words is "four hundred four million, six hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 283 372 496 566 744 849 961 1132 1488 1698 1922 2264 2883 3396 3844 4528 5766 6792 7688 8773 11532 13584 15376 17546 23064 26319 29791 35092 46128 52638 59582 70184 89373 105276 119164 140368 178746 210552 238328 271963 357492 421104 476656 543926 714984 815889 1087852 1429968 1631778 2175704 3263556 4351408 6527112 8430853 13054224 16861706 25292559 33723412 50585118 67446824 101170236 134893648 202340472 404680944