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396377904 = 24313312661
BaseRepresentation
bin10111101000000…
…011111100110000
31000121212002021010
4113220003330300
51302433043104
6103155430520
712552104466
oct2750037460
91017762233
10396377904
1119382164a
12b08b5440
1364173a50
143a900836
1524bea489
hex17a03f30

396377904 has 120 divisors (see below), whose sum is σ = 1141187376. Its totient is φ = 117849600.

The previous prime is 396377881. The next prime is 396377911. The reversal of 396377904 is 409773693.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599334 + ... + 599994.

Almost surely, 2396377904 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 396377904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570593688).

396377904 is an abundant number, since it is smaller than the sum of its proper divisors (744809472).

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

396377904 is a wasteful number, since it uses less digits than its factorization.

396377904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The square root of 396377904 is about 19909.2416731527. The cubic root of 396377904 is about 734.5755668842.

The spelling of 396377904 in words is "three hundred ninety-six million, three hundred seventy-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 661 744 806 961 1209 1322 1488 1612 1922 1983 2418 2644 2883 3224 3844 3966 4836 5288 5766 6448 7688 7932 8593 9672 10576 11532 12493 15376 15864 17186 19344 20491 23064 24986 25779 31728 34372 37479 40982 46128 49972 51558 61473 68744 74958 81964 99944 103116 122946 137488 149916 163928 199888 206232 245892 266383 299832 327856 412464 491784 532766 599664 635221 799149 983568 1065532 1270442 1598298 1905663 2131064 2540884 3196596 3811326 4262128 5081768 6393192 7622652 8257873 10163536 12786384 15245304 16515746 24773619 30490608 33031492 49547238 66062984 99094476 132125968 198188952 396377904