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231393344 = 2671367593
BaseRepresentation
bin11011100101011…
…00100001000000
3121010101222222212
431302230201000
5433214041334
634543321252
75506545110
oct1562544100
9533358885
10231393344
11109685276
12655b0228
1338c29550
1422a35040
15154aaece
hexdcac840

231393344 has 112 divisors (see below), whose sum is σ = 574535808. Its totient is φ = 90021888.

The previous prime is 231393329. The next prime is 231393353. The reversal of 231393344 is 443393132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 231393344.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 389912 + ... + 390504.

It is an arithmetic number, because the mean of its divisors is an integer number (5129784).

Almost surely, 2231393344 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 231393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287267904).

231393344 is an abundant number, since it is smaller than the sum of its proper divisors (343142464).

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

231393344 is a wasteful number, since it uses less digits than its factorization.

231393344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The square root of 231393344 is about 15211.6187172832. The cubic root of 231393344 is about 613.9273115789.

The spelling of 231393344 in words is "two hundred thirty-one million, three hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 67 91 104 112 134 182 208 224 268 364 416 448 469 536 593 728 832 871 938 1072 1186 1456 1742 1876 2144 2372 2912 3484 3752 4151 4288 4744 5824 6097 6968 7504 7709 8302 9488 12194 13936 15008 15418 16604 18976 24388 27872 30016 30836 33208 37952 39731 48776 53963 55744 61672 66416 79462 97552 107926 123344 132832 158924 195104 215852 246688 265664 278117 317848 390208 431704 493376 516503 556234 635696 863408 1033006 1112468 1271392 1726816 2066012 2224936 2542784 3453632 3615521 4132024 4449872 7231042 8264048 8899744 14462084 16528096 17799488 28924168 33056192 57848336 115696672 231393344