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397205172 = 2232721317321
BaseRepresentation
bin10111101011001…
…101111010110100
31000200102010001200
4113223031322310
51303141031142
6103225252500
712562121400
oct2753157264
91020363050
10397205172
11194237141
12b1034130
13643a3460
143aa78100
1524d1064c
hex17acdeb4

397205172 has 108 divisors (see below), whose sum is σ = 1257888996. Its totient is φ = 104751360.

The previous prime is 397205167. The next prime is 397205173. The reversal of 397205172 is 271502793.

It can be written as a sum of positive squares in 2 ways, for example, as 83064996 + 314140176 = 9114^2 + 17724^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397205173) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14272 + ... + 31592.

Almost surely, 2397205172 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 397205172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628944498).

397205172 is an abundant number, since it is smaller than the sum of its proper divisors (860683824).

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

397205172 is a wasteful number, since it uses less digits than its factorization.

397205172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17358 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 397205172 is about 19930.0068238824. The cubic root of 397205172 is about 735.0862483822.

The spelling of 397205172 in words is "three hundred ninety-seven million, two hundred five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 17321 22932 34642 51963 69284 103926 121247 155889 207852 225173 242494 311778 363741 450346 484988 623556 675519 727482 848729 900692 1091223 1351038 1454964 1576211 1697458 2026557 2182446 2546187 2702076 3152422 3394916 4053114 4364892 4728633 5092374 6304844 7638561 8106228 9457266 10184748 11033477 14185899 15277122 18914532 22066954 28371798 30554244 33100431 44133908 56743596 66200862 99301293 132401724 198602586 397205172