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23338240 = 28518233
BaseRepresentation
bin101100100000…
…1110100000000
31121220201001021
41121001310000
521433310430
62152115224
7402241342
oct131016400
947821037
1023338240
11121a0402
127995b14
134ab1a13
143157292
1520b007a
hex1641d00

23338240 has 36 divisors (see below), whose sum is σ = 55905444. Its totient is φ = 9334784.

The previous prime is 23338201. The next prime is 23338241. The reversal of 23338240 is 4283332.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 11723776 = 3408^2 + 3424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23338241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7837 + ... + 10396.

It is an arithmetic number, because the mean of its divisors is an integer number (1552929).

Almost surely, 223338240 is an apocalyptic number.

23338240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23338240 is an abundant number, since it is smaller than the sum of its proper divisors (32567204).

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

23338240 is an equidigital number, since it uses as much as digits as its factorization.

23338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18254 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 23338240 is about 4830.9667769506. The cubic root of 23338240 is about 285.7739913320.

The spelling of 23338240 in words is "twenty-three million, three hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 18233 36466 72932 91165 145864 182330 291728 364660 583456 729320 1166912 1458640 2333824 2917280 4667648 5834560 11669120 23338240