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234630720 = 26325257317
BaseRepresentation
bin11011111110000…
…10111001000000
3121100111110211200
431333002321000
5440031140340
635140541200
75546220402
oct1577027100
9540443750
10234630720
11110496595
12666b1800
13397c0c5c
1423238b72
15158ea330
hexdfc2e40

234630720 has 168 divisors, whose sum is σ = 812727864. Its totient is φ = 62128128.

The previous prime is 234630713. The next prime is 234630757. The reversal of 234630720 is 27036432.

234630720 is a `hidden beast` number, since 2 + 3 + 4 + 630 + 7 + 20 = 666.

234630720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32080896 + 202549824 = 5664^2 + 14232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740002 + ... + 740318.

Almost surely, 2234630720 is an apocalyptic number.

234630720 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 234630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406363932).

234630720 is an abundant number, since it is smaller than the sum of its proper divisors (578097144).

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

234630720 is a wasteful number, since it uses less digits than its factorization.

234630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 234630720 is about 15317.6603957654. The cubic root of 234630720 is about 616.7771716584. Note that the first 3 decimals are identical.

The spelling of 234630720 in words is "two hundred thirty-four million, six hundred thirty thousand, seven hundred twenty".