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230567304 = 233114332017
BaseRepresentation
bin11011011111000…
…10110110001000
3121001212000212210
431233202312020
5433011123204
634513505120
75466534612
oct1557426610
9531760783
10230567304
111091706a0
12652721a0
13389ca576
142289bdb2
1515396389
hexdbe2d88

230567304 has 64 divisors (see below), whose sum is σ = 630584640. Its totient is φ = 69672960.

The previous prime is 230567269. The next prime is 230567327. The reversal of 230567304 is 403765032.

230567304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2305673042 = 106322563347656832, which contains 22 as substring.

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, 113304 + ... + 115320.

It is an arithmetic number, because the mean of its divisors is an integer number (9852885).

Almost surely, 2230567304 is an apocalyptic number.

230567304 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 230567304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315292320).

230567304 is an abundant number, since it is smaller than the sum of its proper divisors (400017336).

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

230567304 is a wasteful number, since it uses less digits than its factorization.

230567304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 230567304 is about 15184.4428281054. The cubic root of 230567304 is about 613.1958973194.

The spelling of 230567304 in words is "two hundred thirty million, five hundred sixty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 433 866 1299 1732 2017 2598 3464 4034 4763 5196 6051 8068 9526 10392 12102 14289 16136 19052 22187 24204 28578 38104 44374 48408 57156 66561 88748 114312 133122 177496 266244 532488 873361 1746722 2620083 3493444 5240166 6986888 9606971 10480332 19213942 20960664 28820913 38427884 57641826 76855768 115283652 230567304