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396331056 = 2436113089
BaseRepresentation
bin10111100111111…
…000100000110000
31000121202201000000
4113213320200300
51302430043211
6103154430000
712551521062
oct2747704060
91017681000
10396331056
1119379a430
12b0892300
1364158624
143a8cb732
1524bdb656
hex179f8830

396331056 has 140 divisors (see below), whose sum is σ = 1256381640. Its totient is φ = 120061440.

The previous prime is 396331037. The next prime is 396331057. The reversal of 396331056 is 650133693.

396331056 is a `hidden beast` number, since 3 + 9 + 633 + 10 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 396331056.

It is not an unprimeable number, because it can be changed into a prime (396331057) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 126760 + ... + 129848.

Almost surely, 2396331056 is an apocalyptic number.

396331056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396331056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628190820).

396331056 is an abundant number, since it is smaller than the sum of its proper divisors (860050584).

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

396331056 is a wasteful number, since it uses less digits than its factorization.

396331056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 396331056 is about 19908.0650993511. The cubic root of 396331056 is about 734.5466258563.

The spelling of 396331056 in words is "three hundred ninety-six million, three hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2376 2673 2916 3089 3564 3888 4752 5346 5832 6178 7128 8019 9267 10692 11664 12356 14256 16038 18534 21384 24712 27801 32076 33979 37068 42768 49424 55602 64152 67958 74136 83403 101937 111204 128304 135916 148272 166806 203874 222408 250209 271832 305811 333612 407748 444816 500418 543664 611622 667224 750627 815496 917433 1000836 1223244 1334448 1501254 1630992 1834866 2001672 2251881 2446488 2752299 3002508 3669732 4003344 4503762 4892976 5504598 6005016 7339464 8256897 9007524 11009196 12010032 14678928 16513794 18015048 22018392 24770691 33027588 36030096 44036784 49541382 66055176 99082764 132110352 198165528 396331056