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397414836 = 22357134493
BaseRepresentation
bin10111101100000…
…001000110110100
31000200210202200000
4113230001012310
51303214233321
6103233551300
712563653560
oct2754010664
91020722600
10397414836
1119436a715
12b1115530
1364447a10
143aad06a0
1524d52826
hex17b011b4

397414836 has 144 divisors (see below), whose sum is σ = 1282479744. Its totient is φ = 104789376.

The previous prime is 397414807. The next prime is 397414837. The reversal of 397414836 is 638414793.

It is a junction number, because it is equal to n+sod(n) for n = 397414791 and 397414800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397414837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86206 + ... + 90698.

Almost surely, 2397414836 is an apocalyptic number.

397414836 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 397414836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641239872).

397414836 is an abundant number, since it is smaller than the sum of its proper divisors (885064908).

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

397414836 is a wasteful number, since it uses less digits than its factorization.

397414836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4518 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 397414836 is about 19935.2661381783. The cubic root of 397414836 is about 735.2155635947.

It can be divided in two parts, 39 and 7414836, that added together give a cube (7414875 = 1953).

The spelling of 397414836 in words is "three hundred ninety-seven million, four hundred fourteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4493 4914 6318 6804 7371 8986 9828 12636 13479 14742 17972 22113 26958 29484 31451 40437 44226 53916 58409 62902 80874 88452 94353 116818 121311 125804 161748 175227 188706 233636 242622 283059 350454 363933 377412 408863 485244 525681 566118 700908 727866 817726 849177 1051362 1091799 1132236 1226589 1455732 1577043 1635452 1698354 2102724 2183598 2453178 2547531 3154086 3396708 3679767 4367196 4731129 4906356 5095062 6308172 7359534 7642593 9462258 10190124 11039301 14193387 14719068 15285186 18924516 22078602 28386774 30570372 33117903 44157204 56773548 66235806 99353709 132471612 198707418 397414836