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390997464 = 2331121310357
BaseRepresentation
bin10111010011100…
…010010111011000
31000020201201200120
4113103202113120
51300043404324
6102444233240
712455265204
oct2723422730
91006651616
10390997464
11190787200
12aab3b820
136300ba60
1439cddb04
15244d6179
hex174e25d8

390997464 has 96 divisors (see below), whose sum is σ = 1157195760. Its totient is φ = 109359360.

The previous prime is 390997457. The next prime is 390997469. The reversal of 390997464 is 464799093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390997469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32574 + ... + 42930.

Almost surely, 2390997464 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 390997464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578597880).

390997464 is an abundant number, since it is smaller than the sum of its proper divisors (766198296).

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

390997464 is a wasteful number, since it uses less digits than its factorization.

390997464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10401 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 390997464 is about 19773.6558076649. The cubic root of 390997464 is about 731.2367002329.

The spelling of 390997464 in words is "three hundred ninety million, nine hundred ninety-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 858 968 1144 1452 1573 1716 2904 3146 3432 4719 6292 9438 10357 12584 18876 20714 31071 37752 41428 62142 82856 113927 124284 134641 227854 248568 269282 341781 403923 455708 538564 683562 807846 911416 1077128 1253197 1367124 1481051 1615692 2506394 2734248 2962102 3231384 3759591 4443153 5012788 5924204 7519182 8886306 10025576 11848408 15038364 16291561 17772612 30076728 32583122 35545224 48874683 65166244 97749366 130332488 195498732 390997464