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23792340 = 223511134759
BaseRepresentation
bin101101011000…
…0101011010100
31122202202221210
41122300223110
522042323330
62205541420
7406142265
oct132605324
948682853
1023792340
11124805a0
127b74870
134c10610
14323496c
15214e8b0
hex16b0ad4

23792340 has 192 divisors, whose sum is σ = 81285120. Its totient is φ = 5122560.

The previous prime is 23792339. The next prime is 23792347. The reversal of 23792340 is 4329732.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23792298 and 23792307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23792347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403231 + ... + 403289.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 223792340 is an apocalyptic number.

23792340 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 23792340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

23792340 is an abundant number, since it is smaller than the sum of its proper divisors (57492780).

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

23792340 is a wasteful number, since it uses less digits than its factorization.

23792340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 23792340 is about 4877.7392304222. The cubic root of 23792340 is about 287.6155653866.

The spelling of 23792340 in words is "twenty-three million, seven hundred ninety-two thousand, three hundred forty".