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23345680 = 2451915359
BaseRepresentation
bin101100100001…
…1101000010000
31121221002020211
41121003220100
521434030210
62152213504
7402302131
oct131035020
947832224
1023345680
11121a5a56
12799a294
134ab5217
143159c88
1520b238a
hex1643a10

23345680 has 40 divisors (see below), whose sum is σ = 57139200. Its totient is φ = 8846208.

The previous prime is 23345677. The next prime is 23345683. The reversal of 23345680 is 8654332.

It is an interprime number because it is at equal distance from previous prime (23345677) and next prime (23345683).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (23345683) 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, 6160 + ... + 9199.

It is an arithmetic number, because the mean of its divisors is an integer number (1428480).

Almost surely, 223345680 is an apocalyptic number.

23345680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23345680 is an abundant number, since it is smaller than the sum of its proper divisors (33793520).

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

23345680 is a wasteful number, since it uses less digits than its factorization.

23345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15391 (or 15385 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 23345680 is about 4831.7367477958. The cubic root of 23345680 is about 285.8043554126.

It can be divided in two parts, 23345 and 680, that added together give a square (24025 = 1552).

The spelling of 23345680 in words is "twenty-three million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 15359 30718 61436 76795 122872 153590 245744 291821 307180 583642 614360 1167284 1228720 1459105 2334568 2918210 4669136 5836420 11672840 23345680