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23874424 = 2372961241
BaseRepresentation
bin101101100010…
…0101101111000
31122220221112221
41123010231320
522102440144
62211413424
7406633510
oct133045570
948827487
1023874424
1112527232
127bb4274
134c3baa2
143256840
152168d84
hex16c4b78

23874424 has 64 divisors (see below), whose sum is σ = 54014400. Its totient is φ = 9676800.

The previous prime is 23874421. The next prime is 23874467. The reversal of 23874424 is 42447832.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23874424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23874421) 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, 98944 + ... + 99184.

It is an arithmetic number, because the mean of its divisors is an integer number (843975).

Almost surely, 223874424 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 23874424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007200).

23874424 is an abundant number, since it is smaller than the sum of its proper divisors (30139976).

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

23874424 is a wasteful number, since it uses less digits than its factorization.

23874424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its digits is 43008, while the sum is 34.

The square root of 23874424 is about 4886.1461296199. The cubic root of 23874424 is about 287.9459453592.

The spelling of 23874424 in words is "twenty-three million, eight hundred seventy-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 61 116 122 203 232 241 244 406 427 482 488 812 854 964 1624 1687 1708 1769 1928 3374 3416 3538 6748 6989 7076 12383 13496 13978 14152 14701 24766 27956 29402 48923 49532 55912 58804 97846 99064 102907 117608 195692 205814 391384 411628 426329 823256 852658 1705316 2984303 3410632 5968606 11937212 23874424