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23263464 = 2337592347
BaseRepresentation
bin101100010111…
…1100011101000
31121202220110210
41120233203220
521423412324
62150341120
7401510340
oct130574350
947686423
1023263464
111214a204
12795a7a0
134a86983
143137d20
152097d29
hex162f8e8

23263464 has 64 divisors (see below), whose sum is σ = 67622400. Its totient is φ = 6531264.

The previous prime is 23263459. The next prime is 23263469. The reversal of 23263464 is 46436232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23263459) and next prime (23263469).

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

It is not an unprimeable number, because it can be changed into a prime (23263469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8739 + ... + 11085.

It is an arithmetic number, because the mean of its divisors is an integer number (1056600).

Almost surely, 223263464 is an apocalyptic number.

23263464 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 23263464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33811200).

23263464 is an abundant number, since it is smaller than the sum of its proper divisors (44358936).

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

23263464 is a wasteful number, since it uses less digits than its factorization.

23263464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2418 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 23263464 is about 4823.2213301900. The cubic root of 23263464 is about 285.4684570257.

Adding to 23263464 its reverse (46436232), we get a palindrome (69699696).

The spelling of 23263464 in words is "twenty-three million, two hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2347 2478 3304 4694 4956 7041 9388 9912 14082 16429 18776 28164 32858 49287 56328 65716 98574 131432 138473 197148 276946 394296 415419 553892 830838 969311 1107784 1661676 1938622 2907933 3323352 3877244 5815866 7754488 11631732 23263464