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23034024 = 2333132631
BaseRepresentation
bin101011111011…
…1100010101000
31121100020202000
41113313202220
521344042044
62141411000
7366533406
oct127674250
947306660
1023034024
1112002892
127869a60
134a06400
1430b8476
15204ed69
hex15f78a8

23034024 has 96 divisors (see below), whose sum is σ = 69393600. Its totient is φ = 7076160.

The previous prime is 23034007. The next prime is 23034029. The reversal of 23034024 is 42043032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23033988 and 23034006.

It is not an unprimeable number, because it can be changed into a prime (23034029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36189 + ... + 36819.

It is an arithmetic number, because the mean of its divisors is an integer number (722850).

Almost surely, 223034024 is an apocalyptic number.

23034024 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 23034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34696800).

23034024 is an abundant number, since it is smaller than the sum of its proper divisors (46359576).

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

23034024 is a wasteful number, since it uses less digits than its factorization.

23034024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23034024 is about 4799.3774596295. The cubic root of 23034024 is about 284.5268603865.

Adding to 23034024 its reverse (42043032), we get a palindrome (65077056).

The spelling of 23034024 in words is "twenty-three million, thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 631 676 702 936 1014 1262 1352 1404 1521 1893 2028 2524 2808 3042 3786 4056 4563 5048 5679 6084 7572 8203 9126 11358 12168 15144 16406 17037 18252 22716 24609 32812 34074 36504 45432 49218 65624 68148 73827 98436 106639 136296 147654 196872 213278 221481 295308 319917 426556 442962 590616 639834 853112 885924 959751 1279668 1771848 1919502 2559336 2879253 3839004 5758506 7678008 11517012 23034024