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397556424 = 233417151239
BaseRepresentation
bin10111101100100…
…011101011001000
31000201001221220000
4113230203223020
51303233301144
6103241003000
712565113426
oct2754435310
91021057800
10397556424
11194457031
12b1183460
13644972b5
143ab2a116
1524d7e769
hex17b23ac8

397556424 has 160 divisors (see below), whose sum is σ = 1191801600. Its totient is φ = 123379200.

The previous prime is 397556417. The next prime is 397556443. The reversal of 397556424 is 424655793.

397556424 is a `hidden beast` number, since 3 + 97 + 556 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×3975564242 = 316102220527335552, 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 397556424.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1663297 + ... + 1663535.

It is an arithmetic number, because the mean of its divisors is an integer number (7448760).

Almost surely, 2397556424 is an apocalyptic number.

397556424 is a gapful number since it is divisible by the number (34) 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 397556424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595900800).

397556424 is an abundant number, since it is smaller than the sum of its proper divisors (794245176).

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

397556424 is a wasteful number, since it uses less digits than its factorization.

397556424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 397556424 is about 19938.8170160619. The cubic root of 397556424 is about 735.3028656041.

The spelling of 397556424 in words is "three hundred ninety-seven million, five hundred fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 151 153 162 204 216 239 302 306 324 408 453 459 478 604 612 648 717 906 918 956 1208 1224 1359 1377 1434 1812 1836 1912 2151 2567 2718 2754 2868 3624 3672 4063 4077 4302 5134 5436 5508 5736 6453 7701 8126 8154 8604 10268 10872 11016 12189 12231 12906 15402 16252 16308 17208 19359 20536 23103 24378 24462 25812 30804 32504 32616 36089 36567 38718 46206 48756 48924 51624 61608 69309 72178 73134 77436 92412 97512 97848 108267 109701 138618 144356 146268 154872 184824 207927 216534 219402 277236 288712 292536 324801 329103 415854 433068 438804 554472 613513 649602 658206 831708 866136 877608 974403 1227026 1299204 1316412 1663416 1840539 1948806 2454052 2598408 2632824 2923209 3681078 3897612 4908104 5521617 5846418 7362156 7795224 11043234 11692836 14724312 16564851 22086468 23385672 33129702 44172936 49694553 66259404 99389106 132518808 198778212 397556424