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23663424 = 263373331
BaseRepresentation
bin101101001000…
…1001101000000
31122112020010010
41122101031000
522024212144
62203104520
7405064401
oct132211500
948466103
1023663424
11123a2754
127b12140
134b96a35
1431dd9a8
1521265b9
hex1691340

23663424 has 56 divisors (see below), whose sum is σ = 64320928. Its totient is φ = 7672320.

The previous prime is 23663413. The next prime is 23663429. The reversal of 23663424 is 42436632.

It is a happy number.

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 = 23663391 and 23663400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23663429) 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, 5439 + ... + 8769.

It is an arithmetic number, because the mean of its divisors is an integer number (1148588).

Almost surely, 223663424 is an apocalyptic number.

23663424 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 23663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32160464).

23663424 is an abundant number, since it is smaller than the sum of its proper divisors (40657504).

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

23663424 is a wasteful number, since it uses less digits than its factorization.

23663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3373 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 23663424 is about 4864.5065525704. The cubic root of 23663424 is about 287.0951539350.

The spelling of 23663424 in words is "twenty-three million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3331 3552 6662 7104 9993 13324 19986 26648 39972 53296 79944 106592 123247 159888 213184 246494 319776 369741 492988 639552 739482 985976 1478964 1971952 2957928 3943904 5915856 7887808 11831712 23663424