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23439372 = 22311416171
BaseRepresentation
bin101100101101…
…0100000001100
31122002211202220
41121122200030
522000024442
62154215340
7403142235
oct131324014
948084686
1023439372
111225a390
127a24550
134b18a68
14318208c
1520ceeec
hex165a80c

23439372 has 96 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 6720000.

The previous prime is 23439341. The next prime is 23439391. The reversal of 23439372 is 27393432.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (27216) is a multiple of the sum of its prime divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330097 + ... + 330167.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 223439372 is an apocalyptic number.

23439372 is a gapful number since it is divisible by the number (22) 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 23439372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

23439372 is an abundant number, since it is smaller than the sum of its proper divisors (39556596).

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

23439372 is a wasteful number, since it uses less digits than its factorization.

23439372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 23439372 is about 4841.4225182275. The cubic root of 23439372 is about 286.1861796535.

It can be divided in two parts, 2343 and 9372, that multiplied together give a square (21958596 = 46862).

The spelling of 23439372 in words is "twenty-three million, four hundred thirty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 61 66 71 82 122 123 132 142 164 183 213 244 246 284 366 426 451 492 671 732 781 852 902 1342 1353 1562 1804 2013 2343 2501 2684 2706 2911 3124 4026 4331 4686 5002 5412 5822 7503 8052 8662 8733 9372 10004 11644 12993 15006 17324 17466 25986 27511 30012 32021 34932 47641 51972 55022 64042 82533 95282 96063 110044 128084 142923 165066 177571 190564 192126 285846 330132 355142 384252 532713 571692 710284 1065426 1953281 2130852 3906562 5859843 7813124 11719686 23439372