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234638720 = 275523701
BaseRepresentation
bin11011111110001…
…00110110000000
3121100111212210222
431333010312000
5440031414340
635141042212
75546252621
oct1577046600
9540455728
10234638720
111104a15a8
12666b6368
13397c47a4
142323ba48
15158ec8b5
hexdfc4d80

234638720 has 64 divisors (see below), whose sum is σ = 562807440. Its totient is φ = 93542400.

The previous prime is 234638713. The next prime is 234638753. The reversal of 234638720 is 27836432.

234638720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334370 + ... + 335070.

Almost surely, 2234638720 is an apocalyptic number.

234638720 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 234638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281403720).

234638720 is an abundant number, since it is smaller than the sum of its proper divisors (328168720).

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

234638720 is an equidigital number, since it uses as much as digits as its factorization.

234638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 234638720 is about 15317.9215300249. The cubic root of 234638720 is about 616.7841814840.

The spelling of 234638720 in words is "two hundred thirty-four million, six hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 523 640 701 1046 1402 2092 2615 2804 3505 4184 5230 5608 7010 8368 10460 11216 14020 16736 20920 22432 28040 33472 41840 44864 56080 66944 83680 89728 112160 167360 224320 334720 366623 448640 733246 1466492 1833115 2932984 3666230 5865968 7332460 11731936 14664920 23463872 29329840 46927744 58659680 117319360 234638720