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230945346 = 232234312973
BaseRepresentation
bin11011100001111…
…11001001000010
3121002120020110100
431300333021002
5433110222341
634525543230
75503001022
oct1560771102
9532506410
10230945346
111093a9725
1265414b16
1338b00668
1422959a82
151541d3b6
hexdc3f242

230945346 has 48 divisors (see below), whose sum is σ = 534321216. Its totient is φ = 71916768.

The previous prime is 230945317. The next prime is 230945347. The reversal of 230945346 is 643549032.

230945346 is a `hidden beast` number, since 2 + 30 + 94 + 534 + 6 = 666.

230945346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230945346.

It is not an unprimeable number, because it can be changed into a prime (230945347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11316 + ... + 24288.

It is an arithmetic number, because the mean of its divisors is an integer number (11131692).

Almost surely, 2230945346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230945346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267160608).

230945346 is an abundant number, since it is smaller than the sum of its proper divisors (303375870).

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

230945346 is a wasteful number, since it uses less digits than its factorization.

230945346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13047 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 230945346 is about 15196.8860626116. The cubic root of 230945346 is about 613.5308497309.

The spelling of 230945346 in words is "two hundred thirty million, nine hundred forty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 774 989 1978 2967 5934 8901 12973 17802 25946 38919 77838 116757 233514 298379 557839 596758 895137 1115678 1673517 1790274 2685411 3347034 5020551 5370822 10041102 12830297 25660594 38490891 76981782 115472673 230945346