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23314368 = 2637111983
BaseRepresentation
bin101100011101…
…1111111000000
31121212111022010
41120323333000
521432024433
62151412520
7402111630
oct130737700
947774263
1023314368
1112184480
127984140
134aa3bac
14314c6c0
1520a7e63
hex163bfc0

23314368 has 224 divisors, whose sum is σ = 81930240. Its totient is φ = 5667840.

The previous prime is 23314339. The next prime is 23314373. The reversal of 23314368 is 86341332.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280855 + ... + 280937.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 223314368 is an apocalyptic number.

23314368 is a gapful number since it is divisible by the number (28) 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 23314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

23314368 is an abundant number, since it is smaller than the sum of its proper divisors (58615872).

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

23314368 is a wasteful number, since it uses less digits than its factorization.

23314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 23314368 is about 4828.4954178295. The cubic root of 23314368 is about 285.6765214849.

The spelling of 23314368 in words is "twenty-three million, three hundred fourteen thousand, three hundred sixty-eight".