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93034368 = 2732783139
BaseRepresentation
bin1011000101110…
…01011110000000
320111001122011100
411202321132000
5142304044433
613122014400
72206531140
oct542713600
9214048140
1093034368
1148574109
12271a7400
131637512b
14c4da920
15827ab13
hex58b9780

93034368 has 192 divisors, whose sum is σ = 311875200. Its totient is φ = 26072064.

The previous prime is 93034363. The next prime is 93034399. The reversal of 93034368 is 86343039.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93034363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669243 + ... + 669381.

It is an arithmetic number, because the mean of its divisors is an integer number (1624350).

Almost surely, 293034368 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 93034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

93034368 is an abundant number, since it is smaller than the sum of its proper divisors (218840832).

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

93034368 is a wasteful number, since it uses less digits than its factorization.

93034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 93034368 is about 9645.4324941912. The cubic root of 93034368 is about 453.1212926086.

The spelling of 93034368 in words is "ninety-three million, thirty-four thousand, three hundred sixty-eight".