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235243008 = 29337111317
BaseRepresentation
bin11100000010110…
…00011000000000
3121101122120202000
432001120120000
5440210234013
635202024000
75554350450
oct1601303000
9541576660
10235243008
11110874610
1266948000
1339976860
1423357d60
15159bb973
hexe058600

235243008 has 640 divisors, whose sum is σ = 989936640. Its totient is φ = 53084160.

The previous prime is 235242977. The next prime is 235243013. The reversal of 235243008 is 800342532.

235243008 is a `hidden beast` number, since 2 + 352 + 4 + 300 + 8 = 666.

235243008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13837816 + ... + 13837832.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2235243008 is an apocalyptic number.

235243008 is a gapful number since it is divisible by the number (28) 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 235243008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

235243008 is an abundant number, since it is smaller than the sum of its proper divisors (754693632).

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

235243008 is a wasteful number, since it uses less digits than its factorization.

235243008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 235243008 is about 15337.6337157985. The cubic root of 235243008 is about 617.3132157558.

The spelling of 235243008 in words is "two hundred thirty-five million, two hundred forty-three thousand, eight".