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31398864 = 24371723239
BaseRepresentation
bin111011111000…
…1101111010000
32012002020010220
41313301233100
531014230424
63040553040
7530612610
oct167615720
965066126
1031398864
11167a6482
12a622780
136674913
144254a40
152b53579
hex1df1bd0

31398864 has 160 divisors (see below), whose sum is σ = 102850560. Its totient is φ = 8042496.

The previous prime is 31398863. The next prime is 31398869. The reversal of 31398864 is 46889313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31398863) 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, 131257 + ... + 131495.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 231398864 is an apocalyptic number.

31398864 is a gapful number since it is divisible by the number (34) 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 31398864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51425280).

31398864 is an abundant number, since it is smaller than the sum of its proper divisors (71451696).

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

31398864 is a wasteful number, since it uses less digits than its factorization.

31398864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 31398864 is about 5603.4689255853. The cubic root of 31398864 is about 315.4796220858.

The spelling of 31398864 in words is "thirty-one million, three hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 112 119 136 138 161 168 184 204 238 239 272 276 322 336 357 368 391 408 476 478 483 552 644 714 717 782 816 952 956 966 1104 1173 1288 1428 1434 1564 1673 1904 1912 1932 2346 2576 2737 2856 2868 3128 3346 3824 3864 4063 4692 5019 5474 5497 5712 5736 6256 6692 7728 8126 8211 9384 10038 10948 10994 11472 12189 13384 16252 16422 16491 18768 20076 21896 21988 24378 26768 28441 32504 32844 32982 38479 40152 43792 43976 48756 56882 65008 65688 65964 76958 80304 85323 87952 93449 97512 113764 115437 131376 131928 153916 170646 186898 195024 227528 230874 263856 280347 307832 341292 373796 455056 461748 560694 615664 654143 682584 747592 923496 1121388 1308286 1365168 1495184 1846992 1962429 2242776 2616572 3924858 4485552 5233144 7849716 10466288 15699432 31398864