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234563040 = 253652011
BaseRepresentation
bin11011111101100…
…10010111100000
3121100101001000000
431332302113200
5440022004130
635135300000
75545516155
oct1576622740
9540331000
10234563040
1111044a758
126667a600
13397991ca
142321c22c
15158d5260
hexdfb25e0

234563040 has 168 divisors, whose sum is σ = 831265848. Its totient is φ = 62519040.

The previous prime is 234563029. The next prime is 234563071. The reversal of 234563040 is 40365432.

234563040 is a `hidden beast` number, since 23 + 4 + 5 + 630 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 234562995 and 234563013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 115635 + ... + 117645.

It is an arithmetic number, because the mean of its divisors is an integer number (4948011).

Almost surely, 2234563040 is an apocalyptic number.

234563040 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 234563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415632924).

234563040 is an abundant number, since it is smaller than the sum of its proper divisors (596702808).

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

234563040 is an equidigital number, since it uses as much as digits as its factorization.

234563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 234563040 is about 15315.4510217623. The cubic root of 234563040 is about 616.7178621566.

The spelling of 234563040 in words is "two hundred thirty-four million, five hundred sixty-three thousand, forty".