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23994144 = 25349257
BaseRepresentation
bin101101110000…
…1111100100000
31200011000210000
41123201330200
522120303034
62214140000
7410642526
oct133417440
950130700
1023994144
11125a9179
128051600
134c81425
143288316
15218e599
hex16e1f20

23994144 has 60 divisors (see below), whose sum is σ = 70573734. Its totient is φ = 7997184.

The previous prime is 23994137. The next prime is 23994149. The reversal of 23994144 is 44149932.

23994144 is a `hidden beast` number, since 239 + 9 + 414 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23619600 + 374544 = 4860^2 + 612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 23994099 and 23994108.

It is not an unprimeable number, because it can be changed into a prime (23994149) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2037 + ... + 7220.

Almost surely, 223994144 is an apocalyptic number.

23994144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23994144 is an abundant number, since it is smaller than the sum of its proper divisors (46579590).

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

23994144 is an equidigital number, since it uses as much as digits as its factorization.

23994144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9279 (or 9262 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 23994144 is about 4898.3817736065. The cubic root of 23994144 is about 288.4264515601.

The spelling of 23994144 in words is "twenty-three million, nine hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 9257 18514 27771 37028 55542 74056 83313 111084 148112 166626 222168 249939 296224 333252 444336 499878 666504 749817 888672 999756 1333008 1499634 1999512 2666016 2999268 3999024 5998536 7998048 11997072 23994144