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23438688 = 2537132683
BaseRepresentation
bin101100101101…
…0010101100000
31122002210211120
41121122111200
522000014223
62154212240
7403140240
oct131322540
948083746
1023438688
1112259919
127a24080
134b18660
143181b20
1520cebe3
hex165a560

23438688 has 96 divisors (see below), whose sum is σ = 75753216. Its totient is φ = 6179328.

The previous prime is 23438683. The next prime is 23438689. The reversal of 23438688 is 88683432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×234386882 = 1098744190322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23438683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7395 + ... + 10077.

It is an arithmetic number, because the mean of its divisors is an integer number (789096).

Almost surely, 223438688 is an apocalyptic number.

23438688 is a gapful number since it is divisible by the number (28) 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 23438688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37876608).

23438688 is an abundant number, since it is smaller than the sum of its proper divisors (52314528).

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

23438688 is a wasteful number, since it uses less digits than its factorization.

23438688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2708 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 23438688 is about 4841.3518773169. The cubic root of 23438688 is about 286.1833958296.

The spelling of 23438688 in words is "twenty-three million, four hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2683 2912 4368 5366 8049 8736 10732 16098 18781 21464 32196 34879 37562 42928 56343 64392 69758 75124 85856 104637 112686 128784 139516 150248 209274 225372 244153 257568 279032 300496 418548 450744 488306 558064 600992 732459 837096 901488 976612 1116128 1464918 1674192 1802976 1953224 2929836 3348384 3906448 5859672 7812896 11719344 23438688