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397161336 = 2331113313733
BaseRepresentation
bin10111101011000…
…011001101111000
31000200022212221010
4113223003031320
51303133130321
6103224313520
712561546525
oct2753031570
91020285833
10397161336
11194207210
12b10128a0
1364389510
143aa6614c
1524d02676
hex17ac3378

397161336 has 128 divisors (see below), whose sum is σ = 1204439040. Its totient is φ = 107481600.

The previous prime is 397161329. The next prime is 397161337. The reversal of 397161336 is 633161793.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 397161294 and 397161303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397161337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104526 + ... + 108258.

It is an arithmetic number, because the mean of its divisors is an integer number (9409680).

Almost surely, 2397161336 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 397161336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602219520).

397161336 is an abundant number, since it is smaller than the sum of its proper divisors (807277704).

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

397161336 is a wasteful number, since it uses less digits than its factorization.

397161336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3793 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 397161336 is about 19928.9070447930. The cubic root of 397161336 is about 735.0592057449.

The spelling of 397161336 in words is "three hundred ninety-seven million, one hundred sixty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 1023 1144 1209 1364 1612 1716 2046 2418 2728 3224 3432 3733 4092 4433 4836 7466 8184 8866 9672 11199 13299 14932 17732 22398 26598 29864 35464 41063 44796 48529 53196 82126 89592 97058 106392 115723 123189 145587 164252 194116 231446 246378 291174 328504 347169 388232 462892 492756 533819 582348 694338 925784 985512 1067638 1164696 1272953 1388676 1504399 1601457 2135276 2545906 2777352 3008798 3202914 3818859 4270552 4513197 5091812 6017596 6405828 7637718 9026394 10183624 12035192 12811656 15275436 16548389 18052788 30550872 33096778 36105576 49645167 66193556 99290334 132387112 198580668 397161336