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234928512 = 273571383
BaseRepresentation
bin11100000000010…
…11100110000000
3121101001121100000
432000023212000
5440120203022
635151200000
75551600530
oct1600134600
9541047300
10234928512
1111067a2a5
1266816000
1339896670
14232b54c0
15159586ac
hexe00b980

234928512 has 384 divisors, whose sum is σ = 873250560. Its totient is φ = 61212672.

The previous prime is 234928511. The next prime is 234928531. The reversal of 234928512 is 215829432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234928511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830423 + ... + 2830505.

It is an arithmetic number, because the mean of its divisors is an integer number (2274090).

Almost surely, 2234928512 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 234928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436625280).

234928512 is an abundant number, since it is smaller than the sum of its proper divisors (638322048).

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

234928512 is an equidigital number, since it uses as much as digits as its factorization.

234928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 234928512 is about 15327.3778579377. The cubic root of 234928512 is about 617.0379980574.

The spelling of 234928512 in words is "two hundred thirty-four million, nine hundred twenty-eight thousand, five hundred twelve".