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23834664 = 23327192131
BaseRepresentation
bin101101011101…
…1000000101000
31122211221000100
41122323000220
522100202124
62210505400
7406406550
oct132730050
948757010
1023834664
11124aa377
127b95260
134c26969
143246160
15215c1c9
hex16bb028

23834664 has 144 divisors (see below), whose sum is σ = 78455520. Its totient is φ = 6402240.

The previous prime is 23834639. The next prime is 23834677. The reversal of 23834664 is 46643832.

It is a happy number.

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 (82944) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181879 + ... + 182009.

It is an arithmetic number, because the mean of its divisors is an integer number (544830).

Almost surely, 223834664 is an apocalyptic number.

23834664 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 23834664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39227760).

23834664 is an abundant number, since it is smaller than the sum of its proper divisors (54620856).

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

23834664 is a wasteful number, since it uses less digits than its factorization.

23834664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 23834664 is about 4882.0757880230. The cubic root of 23834664 is about 287.7860100219.

The spelling of 23834664 in words is "twenty-three million, eight hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 131 133 152 168 171 228 252 262 266 342 361 393 399 456 504 524 532 684 722 786 798 917 1048 1064 1083 1179 1197 1368 1444 1572 1596 1834 2166 2358 2394 2489 2527 2751 2888 3144 3192 3249 3668 4332 4716 4788 4978 5054 5502 6498 7336 7467 7581 8253 8664 9432 9576 9956 10108 11004 12996 14934 15162 16506 17423 19912 20216 22008 22401 22743 25992 29868 30324 33012 34846 44802 45486 47291 52269 59736 60648 66024 69692 89604 90972 94582 104538 139384 141873 156807 179208 181944 189164 209076 283746 313614 331037 378328 418152 425619 567492 627228 662074 851238 993111 1134984 1254456 1324148 1702476 1986222 2648296 2979333 3404952 3972444 5958666 7944888 11917332 23834664