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23363664 = 2431074549
BaseRepresentation
bin101100100100…
…0000001010000
31121221222220220
41121020001100
521440114124
62152433040
7402405432
oct131100120
947858826
1023363664
1112208515
1279a8780
134ac046c
143162652
1520b7879
hex1648050

23363664 has 40 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 7713408.

The previous prime is 23363651. The next prime is 23363689. The reversal of 23363664 is 46636332.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2862 + ... + 7410.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 223363664 is an apocalyptic number.

23363664 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 23363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

23363664 is an abundant number, since it is smaller than the sum of its proper divisors (37569936).

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

23363664 is a wasteful number, since it uses less digits than its factorization.

23363664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4661 counting only the distinct ones).

The product of its digits is 46656, while the sum is 33.

The square root of 23363664 is about 4833.5974180728. The cubic root of 23363664 is about 285.8777249650.

Adding to 23363664 its reverse (46636332), we get a palindrome (69999996).

The spelling of 23363664 in words is "twenty-three million, three hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 4549 5136 9098 13647 18196 27294 36392 54588 72784 109176 218352 486743 973486 1460229 1946972 2920458 3893944 5840916 7787888 11681832 23363664