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23290464 = 253377983
BaseRepresentation
bin101100011011…
…0001001100000
31121211021111210
41120312021200
521430243324
62151110120
7401652141
oct130661140
947737453
1023290464
111216851a
127972340
134a96052
143143ac8
1520a0d29
hex1636260

23290464 has 96 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 7368192.

The previous prime is 23290457. The next prime is 23290469. The reversal of 23290464 is 46409232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23290469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280567 + ... + 280649.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 223290464 is an apocalyptic number.

23290464 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 23290464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

23290464 is an abundant number, since it is smaller than the sum of its proper divisors (41060256).

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

23290464 is a wasteful number, since it uses less digits than its factorization.

23290464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 23290464 is about 4826.0194777891. The cubic root of 23290464 is about 285.5788542905.

Adding to 23290464 its reverse (46409232), we get a palindrome (69699696).

The spelling of 23290464 in words is "twenty-three million, two hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 79 83 96 111 148 158 166 222 237 249 296 316 332 444 474 498 592 632 664 888 948 996 1184 1264 1328 1776 1896 1992 2528 2656 2923 3071 3552 3792 3984 5846 6142 6557 7584 7968 8769 9213 11692 12284 13114 17538 18426 19671 23384 24568 26228 35076 36852 39342 46768 49136 52456 70152 73704 78684 93536 98272 104912 140304 147408 157368 209824 242609 280608 294816 314736 485218 629472 727827 970436 1455654 1940872 2911308 3881744 5822616 7763488 11645232 23290464