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30668000 = 2553111741
BaseRepresentation
bin111010011111…
…1010011100000
32010201002120212
41310333103200
530322334000
63013153252
7521450036
oct164772340
963632525
1030668000
1116347360
12a32b828
13647a05c
144104556
152a5bc35
hex1d3f4e0

30668000 has 192 divisors, whose sum is σ = 89159616. Its totient is φ = 10240000.

The previous prime is 30667999. The next prime is 30668003. The reversal of 30668000 is 86603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30668003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747980 + ... + 748020.

It is an arithmetic number, because the mean of its divisors is an integer number (464373).

Almost surely, 230668000 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 30668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808).

30668000 is an abundant number, since it is smaller than the sum of its proper divisors (58491616).

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

30668000 is a wasteful number, since it uses less digits than its factorization.

30668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 30668000 is about 5537.8696264900. The cubic root of 30668000 is about 313.0125987164.

The spelling of 30668000 in words is "thirty million, six hundred sixty-eight thousand".