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230473344 = 27319311019
BaseRepresentation
bin11011011110010…
…11111010000000
3121001200020222210
431233023322000
5433000121334
634511502120
75465663643
oct1557137200
9531606883
10230473344
11109107042
1265227940
133899687a
1422875a5a
15153785e9
hexdbcbe80

230473344 has 128 divisors (see below), whose sum is σ = 665856000. Its totient is φ = 70364160.

The previous prime is 230473339. The next prime is 230473351. The reversal of 230473344 is 443374032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225667 + ... + 226685.

It is an arithmetic number, because the mean of its divisors is an integer number (5202000).

Almost surely, 2230473344 is an apocalyptic number.

230473344 is a gapful number since it is divisible by the number (24) 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 230473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332928000).

230473344 is an abundant number, since it is smaller than the sum of its proper divisors (435382656).

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

230473344 is a wasteful number, since it uses less digits than its factorization.

230473344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 30.

The square root of 230473344 is about 15181.3485566994. The cubic root of 230473344 is about 613.1125901697.

The spelling of 230473344 in words is "two hundred thirty million, four hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 304 372 384 456 496 589 608 744 912 992 1019 1178 1216 1488 1767 1824 1984 2038 2356 2432 2976 3057 3534 3648 3968 4076 4712 5952 6114 7068 7296 8152 9424 11904 12228 14136 16304 18848 19361 24456 28272 31589 32608 37696 38722 48912 56544 58083 63178 65216 75392 77444 94767 97824 113088 116166 126356 130432 154888 189534 195648 226176 232332 252712 309776 379068 391296 464664 505424 600191 619552 758136 929328 1010848 1200382 1239104 1516272 1800573 1858656 2021696 2400764 2478208 3032544 3601146 3717312 4043392 4801528 6065088 7202292 7434624 9603056 12130176 14404584 19206112 28809168 38412224 57618336 76824448 115236672 230473344