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23124384 = 2532233491
BaseRepresentation
bin101100000110…
…1100110100000
31121111211200200
41120031212200
521404440014
62143345200
7400361013
oct130154640
947454620
1023124384
1112064768
1278b2200
134a3858a
1430dd37a
15206ba09
hex160d9a0

23124384 has 72 divisors (see below), whose sum is σ = 68638752. Its totient is φ = 7370880.

The previous prime is 23124359. The next prime is 23124449. The reversal of 23124384 is 48342132.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4879 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (953316).

Almost surely, 223124384 is an apocalyptic number.

23124384 is a gapful number since it is divisible by the number (24) 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 23124384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34319376).

23124384 is an abundant number, since it is smaller than the sum of its proper divisors (45514368).

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

23124384 is a wasteful number, since it uses less digits than its factorization.

23124384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3519 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 23124384 is about 4808.7819663611. The cubic root of 23124384 is about 284.8984310276.

The spelling of 23124384 in words is "twenty-three million, one hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 3491 6624 6982 10473 13964 20946 27928 31419 41892 55856 62838 80293 83784 111712 125676 160586 167568 240879 251352 321172 335136 481758 502704 642344 722637 963516 1005408 1284688 1445274 1927032 2569376 2890548 3854064 5781096 7708128 11562192 23124384