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23234624 = 267231239
BaseRepresentation
bin101100010100…
…0100001000000
31121201102220122
41120220201000
521422001444
62145555412
7401330300
oct130504100
947642818
1023234624
111212a576
127945b68
134a767ca
14312b600
15208e4ee
hex1628840

23234624 has 84 divisors (see below), whose sum is σ = 55595520. Its totient is φ = 9596160.

The previous prime is 23234609. The next prime is 23234633. The reversal of 23234624 is 42643232.

23234624 is nontrivially palindromic in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 23234593 and 23234602.

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 11 ways as a sum of consecutive naturals, for example, 97097 + ... + 97335.

Almost surely, 223234624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797760).

23234624 is an abundant number, since it is smaller than the sum of its proper divisors (32360896).

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

23234624 is a wasteful number, since it uses less digits than its factorization.

23234624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its digits is 6912, while the sum is 26.

The square root of 23234624 is about 4820.2306998732. The cubic root of 23234624 is about 285.3504420017.

Adding to 23234624 its reverse (42643232), we get a palindrome (65877856).

The spelling of 23234624 in words is "twenty-three million, two hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 239 248 392 434 448 478 496 784 868 956 992 1519 1568 1673 1736 1912 1984 3038 3136 3346 3472 3824 6076 6692 6944 7409 7648 11711 12152 13384 13888 14818 15296 23422 24304 26768 29636 46844 48608 51863 53536 59272 93688 97216 103726 107072 118544 187376 207452 237088 363041 374752 414904 474176 726082 749504 829808 1452164 1659616 2904328 3319232 5808656 11617312 23234624