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23042664 = 2333107997
BaseRepresentation
bin101011111100…
…1101001101000
31121100200121000
41113321221220
521344331124
62141515000
7366600531
oct127715150
947320530
1023042664
1112009327
127872a60
134a0a318
1430bb688
1520526c9
hex15f9a68

23042664 has 64 divisors (see below), whose sum is σ = 64670400. Its totient is φ = 7601472.

The previous prime is 23042653. The next prime is 23042681. The reversal of 23042664 is 46624032.

23042664 is a `hidden beast` number, since 230 + 426 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22614 + ... + 23610.

It is an arithmetic number, because the mean of its divisors is an integer number (1010475).

Almost surely, 223042664 is an apocalyptic number.

23042664 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 23042664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32335200).

23042664 is an abundant number, since it is smaller than the sum of its proper divisors (41627736).

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

23042664 is a wasteful number, since it uses less digits than its factorization.

23042664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23042664 is about 4800.2774919790. The cubic root of 23042664 is about 284.5624310242.

Adding to 23042664 its reverse (46624032), we get a palindrome (69666696).

The spelling of 23042664 in words is "twenty-three million, forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 997 1284 1926 1994 2568 2889 2991 3852 3988 5778 5982 7704 7976 8973 11556 11964 17946 23112 23928 26919 35892 53838 71784 106679 107676 213358 215352 320037 426716 640074 853432 960111 1280148 1920222 2560296 2880333 3840444 5760666 7680888 11521332 23042664