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23643424 = 257591789
BaseRepresentation
bin101101000110…
…0010100100000
31122111012200101
41122030110200
522023042144
62202432144
7404652160
oct132142440
948435611
1023643424
1112389722
127b02654
134b8a8bc
1431d65a0
1521206d4
hex168c520

23643424 has 48 divisors (see below), whose sum is σ = 54129600. Its totient is φ = 9955584.

The previous prime is 23643419. The next prime is 23643427. The reversal of 23643424 is 42434632.

It is a super-2 number, since 2×236434242 = 1118022996887552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 23643392 and 23643401.

It is not an unprimeable number, because it can be changed into a prime (23643427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12322 + ... + 14110.

It is an arithmetic number, because the mean of its divisors is an integer number (1127700).

Almost surely, 223643424 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 23643424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27064800).

23643424 is an abundant number, since it is smaller than the sum of its proper divisors (30486176).

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

23643424 is a wasteful number, since it uses less digits than its factorization.

23643424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1857 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 23643424 is about 4862.4504110582. The cubic root of 23643424 is about 287.0142481808.

It can be divided in two parts, 236 and 43424, that added together give a triangular number (43660 = T295).

The spelling of 23643424 in words is "twenty-three million, six hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1789 1888 3304 3578 6608 7156 12523 13216 14312 25046 28624 50092 57248 100184 105551 200368 211102 400736 422204 738857 844408 1477714 1688816 2955428 3377632 5910856 11821712 23643424