Search a number
-
+
23339664 = 24372329
BaseRepresentation
bin101100100001…
…0001010010000
31121220210000000
41121002022100
521433332124
62152130000
7402245445
oct131021220
947823000
1023339664
11121a1487
127996900
134ab256a
1431579cc
1520b06c9
hex1642290

23339664 has 160 divisors (see below), whose sum is σ = 73209600. Its totient is φ = 7185024.

The previous prime is 23339653. The next prime is 23339671. The reversal of 23339664 is 46693332.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (69984) is a multiple of the sum of its prime factors (81).

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, 804802 + ... + 804830.

It is an arithmetic number, because the mean of its divisors is an integer number (457560).

Almost surely, 223339664 is an apocalyptic number.

23339664 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 23339664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604800).

23339664 is an abundant number, since it is smaller than the sum of its proper divisors (49869936).

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

23339664 is an equidigital number, since it uses as much as digits as its factorization.

23339664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 23339664 is about 4831.1141572105. The cubic root of 23339664 is about 285.7798034510.

The spelling of 23339664 in words is "twenty-three million, three hundred thirty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 29 36 46 48 54 58 69 72 81 87 92 108 116 138 144 162 174 184 207 216 232 243 261 276 324 348 368 414 432 464 486 522 552 621 648 667 696 729 783 828 972 1044 1104 1242 1296 1334 1392 1458 1566 1656 1863 1944 2001 2088 2187 2349 2484 2668 2916 3132 3312 3726 3888 4002 4176 4374 4698 4968 5336 5589 5832 6003 6264 7047 7452 8004 8748 9396 9936 10672 11178 11664 12006 12528 14094 14904 16008 16767 17496 18009 18792 21141 22356 24012 28188 29808 32016 33534 34992 36018 37584 42282 44712 48024 50301 54027 56376 63423 67068 72036 84564 89424 96048 100602 108054 112752 126846 134136 144072 162081 169128 201204 216108 253692 268272 288144 324162 338256 402408 432216 486243 507384 648324 804816 864432 972486 1014768 1296648 1458729 1944972 2593296 2917458 3889944 5834916 7779888 11669832 23339664