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234983520 = 253251729331
BaseRepresentation
bin11100000000110…
…01000001100000
3121101011101210100
432000121001200
5440123433040
635152302400
75552220102
oct1600310140
9541141710
10234983520
11110707662
1266841a00
13398b5705
14232cb572
1515969b30
hexe019060

234983520 has 288 divisors, whose sum is σ = 880981920. Its totient is φ = 56770560.

The previous prime is 234983501. The next prime is 234983521. The reversal of 234983520 is 25389432.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234983521) 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, 709755 + ... + 710085.

It is an arithmetic number, because the mean of its divisors is an integer number (3058965).

Almost surely, 2234983520 is an apocalyptic number.

234983520 is a gapful number since it is divisible by the number (20) 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 234983520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440490960).

234983520 is an abundant number, since it is smaller than the sum of its proper divisors (645998400).

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

234983520 is a wasteful number, since it uses less digits than its factorization.

234983520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 234983520 is about 15329.1721889996. The cubic root of 234983520 is about 617.0861536673.

The spelling of 234983520 in words is "two hundred thirty-four million, nine hundred eighty-three thousand, five hundred twenty".