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321031392 = 25311229953
BaseRepresentation
bin10011001000101…
…000110011100000
3211101002002021120
4103020220303200
51124141001032
651504452240
710645502403
oct2310506340
9741062246
10321031392
11155239700
128b61a080
1351682806
14308c9d3a
151d2b562c
hex13228ce0

321031392 has 144 divisors (see below), whose sum is σ = 959227920. Its totient is φ = 93829120.

The previous prime is 321031387. The next prime is 321031393. The reversal of 321031392 is 293130123.

It is a super-2 number, since 2×3210313922 = 206122309298915328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321031393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336388 + ... + 337340.

It is an arithmetic number, because the mean of its divisors is an integer number (6661305).

Almost surely, 2321031392 is an apocalyptic number.

321031392 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 321031392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479613960).

321031392 is an abundant number, since it is smaller than the sum of its proper divisors (638196528).

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

321031392 is a wasteful number, since it uses less digits than its factorization.

321031392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 321031392 is about 17917.3489110415. The cubic root of 321031392 is about 684.7244470392.

The spelling of 321031392 in words is "three hundred twenty-one million, thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 121 132 174 176 232 242 264 319 348 352 363 464 484 528 638 696 726 928 953 957 968 1056 1276 1392 1452 1906 1914 1936 2552 2784 2859 2904 3509 3812 3828 3872 5104 5718 5808 7018 7624 7656 10208 10483 10527 11436 11616 14036 15248 15312 20966 21054 22872 27637 28072 30496 30624 31449 41932 42108 45744 55274 56144 62898 82911 83864 84216 91488 110548 112288 115313 125796 165822 167728 168432 221096 230626 251592 304007 331644 335456 336864 345939 442192 461252 503184 608014 663288 691878 884384 912021 922504 1006368 1216028 1326576 1383756 1824042 1845008 2432056 2653152 2767512 3344077 3648084 3690016 4864112 5535024 6688154 7296168 9728224 10032231 11070048 13376308 14592336 20064462 26752616 29184672 40128924 53505232 80257848 107010464 160515696 321031392