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23404320 = 2532516253
BaseRepresentation
bin101100101000…
…1111100100000
31122001001200200
41121101330200
521442414240
62153345200
7402635112
oct131217440
948031620
1023404320
1112236015
127a08200
134b05b14
1431733b2
1520c4930
hex1651f20

23404320 has 72 divisors (see below), whose sum is σ = 79872156. Its totient is φ = 6240768.

The previous prime is 23404319. The next prime is 23404327. The reversal of 23404320 is 2340432.

23404320 is a `hidden beast` number, since 2 + 340 + 4 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23386896 + 17424 = 4836^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 23404293 and 23404302.

It is not an unprimeable number, because it can be changed into a prime (23404327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6687 + ... + 9566.

Almost surely, 223404320 is an apocalyptic number.

23404320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23404320 is an abundant number, since it is smaller than the sum of its proper divisors (56467836).

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

23404320 is a wasteful number, since it uses less digits than its factorization.

23404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 16263 counting only the distinct ones).

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

The square root of 23404320 is about 4837.8011534167. The cubic root of 23404320 is about 286.0434511061.

Adding to 23404320 its reverse (2340432), we get a palindrome (25744752).

The spelling of 23404320 in words is "twenty-three million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16253 32506 48759 65012 81265 97518 130024 146277 162530 195036 243795 260048 292554 325060 390072 487590 520096 585108 650120 731385 780144 975180 1170216 1300240 1462770 1560288 1950360 2340432 2600480 2925540 3900720 4680864 5851080 7801440 11702160 23404320