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234384975 = 33521131567
BaseRepresentation
bin11011111100001…
…10111001001111
3121100000222202000
431332012321033
5440000304400
635131403343
75544145056
oct1576067117
9540028660
10234384975
111103389a0
12665b3553
1339736146
14231b339d
151589c600
hexdf86e4f

234384975 has 48 divisors (see below), whose sum is σ = 469731840. Its totient is φ = 113637600.

The previous prime is 234384949. The next prime is 234385003. The reversal of 234384975 is 579483432.

It is not a de Polignac number, because 234384975 - 210 = 234383951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 234384975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8359 + ... + 23208.

It is an arithmetic number, because the mean of its divisors is an integer number (9786080).

Almost surely, 2234384975 is an apocalyptic number.

234384975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

234384975 is an abundant number, since it is smaller than the sum of its proper divisors (235346865).

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

234384975 is a wasteful number, since it uses less digits than its factorization.

234384975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31597 (or 31586 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 234384975 is about 15309.6366710644. The cubic root of 234384975 is about 616.5617652907.

The spelling of 234384975 in words is "two hundred thirty-four million, three hundred eighty-four thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 31567 94701 157835 284103 347237 473505 789175 852309 1041711 1420515 1736185 2367525 3125133 4261545 5208555 7102575 8680925 9375399 15625665 21307725 26042775 46876995 78128325 234384975