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234472608 = 25325913799
BaseRepresentation
bin11011111100111…
…00010010100000
3121100012102221200
431332130102200
5440011110413
635133321200
75544661416
oct1576342240
9540172850
10234472608
11110398817
1266636200
1339766cb6
14231d72b6
15158b8573
hexdf9c4a0

234472608 has 72 divisors (see below), whose sum is σ = 678132000. Its totient is φ = 76827264.

The previous prime is 234472591. The next prime is 234472633. The reversal of 234472608 is 806274432.

234472608 is a `hidden beast` number, since 2 + 3 + 4 + 47 + 2 + 608 = 666.

234472608 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10093 + ... + 23891.

It is an arithmetic number, because the mean of its divisors is an integer number (9418500).

Almost surely, 2234472608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234472608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339066000).

234472608 is an abundant number, since it is smaller than the sum of its proper divisors (443659392).

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

234472608 is a wasteful number, since it uses less digits than its factorization.

234472608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13874 (or 13863 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 234472608 is about 15312.4984244897. The cubic root of 234472608 is about 616.6385967582.

The spelling of 234472608 in words is "two hundred thirty-four million, four hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 13799 16992 27598 41397 55196 82794 110392 124191 165588 220784 248382 331176 441568 496764 662352 814141 993528 1324704 1628282 1987056 2442423 3256564 3974112 4884846 6513128 7327269 9769692 13026256 14654538 19539384 26052512 29309076 39078768 58618152 78157536 117236304 234472608