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397083924 = 223359101617
BaseRepresentation
bin10111101010110…
…000010100010100
31000200011221202000
4113222300110110
51303123141144
6103222515300
712561105036
oct2752602424
91020157660
10397083924
11194164036
12b0b95b30
1364360203
143aa45c56
1524cd9769
hex17ab0514

397083924 has 96 divisors (see below), whose sum is σ = 1059004800. Its totient is φ = 128620800.

The previous prime is 397083919. The next prime is 397083989. The reversal of 397083924 is 429380793.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 397083924.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 643264 + ... + 643880.

It is an arithmetic number, because the mean of its divisors is an integer number (11031300).

Almost surely, 2397083924 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 397083924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529502400).

397083924 is an abundant number, since it is smaller than the sum of its proper divisors (661920876).

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

397083924 is a wasteful number, since it uses less digits than its factorization.

397083924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 397083924 is about 19926.9647462929. The cubic root of 397083924 is about 735.0114450529.

The spelling of 397083924 in words is "three hundred ninety-seven million, eighty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 101 108 118 177 202 236 303 354 404 531 606 617 708 909 1062 1212 1234 1593 1818 1851 2124 2468 2727 3186 3636 3702 5454 5553 5959 6372 7404 10908 11106 11918 16659 17877 22212 23836 33318 35754 36403 53631 62317 66636 71508 72806 107262 109209 124634 145612 160893 186951 214524 218418 249268 321786 327627 373902 436836 560853 643572 655254 747804 982881 1121706 1310508 1682559 1965762 2243412 3365118 3676703 3931524 6730236 7353406 11030109 14706812 22060218 33090327 44120436 66180654 99270981 132361308 198541962 397083924