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30392064 = 28334397
BaseRepresentation
bin111001111101…
…1111100000000
32010012002002000
41303323330000
530240021224
63003224000
7516220413
oct163737400
963162060
1030392064
111617900a
12a218000
1363b1591
144071b7a
152a050c9
hex1cfbf00

30392064 has 72 divisors (see below), whose sum is σ = 89895120. Its totient is φ = 10128384.

The previous prime is 30392051. The next prime is 30392069. The reversal of 30392064 is 46029303.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30392069) 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, 4714 + ... + 9110.

Almost surely, 230392064 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 30392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44947560).

30392064 is an abundant number, since it is smaller than the sum of its proper divisors (59503056).

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

30392064 is an equidigital number, since it uses as much as digits as its factorization.

30392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30392064 is about 5512.8997814218. The cubic root of 30392064 is about 312.0709897635.

The spelling of 30392064 in words is "thirty million, three hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 4397 6912 8794 13191 17588 26382 35176 39573 52764 70352 79146 105528 118719 140704 158292 211056 237438 281408 316584 422112 474876 562816 633168 844224 949752 1125632 1266336 1688448 1899504 2532672 3376896 3799008 5065344 7598016 10130688 15196032 30392064