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397262272 = 261131109167
BaseRepresentation
bin10111101011011…
…011110111000000
31000200112000101111
4113223123313000
51303144343042
6103230413104
712562450021
oct2753336700
91020460344
10397262272
11194276030
12b1061194
13643c3444
143aa90c48
1524d22517
hex17adbdc0

397262272 has 112 divisors (see below), whose sum is σ = 901232640. Its totient is φ = 172108800.

The previous prime is 397262267. The next prime is 397262287. The reversal of 397262272 is 272262793.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2378733 + ... + 2378899.

It is an arithmetic number, because the mean of its divisors is an integer number (8046720).

Almost surely, 2397262272 is an apocalyptic number.

397262272 is a gapful number since it is divisible by the number (32) 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 397262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450616320).

397262272 is an abundant number, since it is smaller than the sum of its proper divisors (503970368).

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

397262272 is a wasteful number, since it uses less digits than its factorization.

397262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 397262272 is about 19931.4392857114. The cubic root of 397262272 is about 735.1214706608.

The spelling of 397262272 in words is "three hundred ninety-seven million, two hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 109 124 167 176 218 248 334 341 352 436 496 668 682 704 872 992 1199 1336 1364 1744 1837 1984 2398 2672 2728 3379 3488 3674 4796 5177 5344 5456 6758 6976 7348 9592 10354 10688 10912 13516 14696 18203 19184 20708 21824 27032 29392 36406 37169 38368 41416 54064 56947 58784 72812 74338 76736 82832 108128 113894 117568 145624 148676 165664 200233 216256 227788 291248 297352 331328 400466 455576 564293 582496 594704 800932 911152 1128586 1164992 1189408 1601864 1822304 2257172 2378816 3203728 3644608 4514344 6207223 6407456 9028688 12414446 12814912 18057376 24828892 36114752 49657784 99315568 198631136 397262272