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234379008 = 283489127
BaseRepresentation
bin11011111100001…
…01011100000000
3121100000200120000
431332011130000
5440000112013
635131320000
75544121503
oct1576053400
9540020500
10234379008
11110334466
12665b0000
1339733506
14231b113a
151589a973
hexdf85700

234379008 has 180 divisors, whose sum is σ = 712293120. Its totient is φ = 76640256.

The previous prime is 234378997. The next prime is 234379037. The reversal of 234379008 is 800973432.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1845441 + ... + 1845567.

It is an arithmetic number, because the mean of its divisors is an integer number (3957184).

Almost surely, 2234379008 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 234379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356146560).

234379008 is an abundant number, since it is smaller than the sum of its proper divisors (477914112).

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

234379008 is an equidigital number, since it uses as much as digits as its factorization.

234379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 234379008 is about 15309.4417925671. The cubic root of 234379008 is about 616.5565330792.

The spelling of 234379008 in words is "two hundred thirty-four million, three hundred seventy-nine thousand, eight".