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234315315 = 33513197027
BaseRepresentation
bin11011111011101…
…01111000110011
3121022220110012000
431331311320303
5434441042230
635130105043
75543435013
oct1575657063
9538813160
10234315315
111102a0623
126657b183
1339710520
1423195c43
1515886b60
hexdf75e33

234315315 has 64 divisors (see below), whose sum is σ = 472281600. Its totient is φ = 109268352.

The previous prime is 234315313. The next prime is 234315349. The reversal of 234315315 is 513513432.

234315315 is a `hidden beast` number, since 2 + 34 + 315 + 315 = 666.

It is not a de Polignac number, because 234315315 - 21 = 234315313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (234315311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29832 + ... + 36858.

It is an arithmetic number, because the mean of its divisors is an integer number (7379400).

Almost surely, 2234315315 is an apocalyptic number.

234315315 is an abundant number, since it is smaller than the sum of its proper divisors (237966285).

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

234315315 is a wasteful number, since it uses less digits than its factorization.

234315315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7067 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 234315315 is about 15307.3614643413. The cubic root of 234315315 is about 616.5006778309.

Adding to 234315315 its reverse (513513432), we get a palindrome (747828747).

The spelling of 234315315 in words is "two hundred thirty-four million, three hundred fifteen thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 855 1235 1755 2223 2565 3705 6669 7027 11115 21081 33345 35135 63243 91351 105405 133513 189729 274053 316215 400539 456755 667565 822159 948645 1201617 1370265 1735669 2002695 2466477 3604851 4110795 5207007 6008085 8678345 12332385 15621021 18024255 26035035 46863063 78105105 234315315