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30706368 = 2637113167
BaseRepresentation
bin111010100100…
…0101011000000
32010210001012220
41311020223000
530330100433
63014051040
7521666640
oct165105300
963701186
1030706368
1116373170
12a349a80
136491664
144114520
152a682b3
hex1d48ac0

30706368 has 224 divisors, whose sum is σ = 106119168. Its totient is φ = 7603200.

The previous prime is 30706327. The next prime is 30706393. The reversal of 30706368 is 86360703.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 458271 + ... + 458337.

Almost surely, 230706368 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 30706368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53059584).

30706368 is an abundant number, since it is smaller than the sum of its proper divisors (75412800).

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

30706368 is a wasteful number, since it uses less digits than its factorization.

30706368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 30706368 is about 5541.3326916907. The cubic root of 30706368 is about 313.1430785057.

The spelling of 30706368 in words is "thirty million, seven hundred six thousand, three hundred sixty-eight".