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30604896 = 25327171947
BaseRepresentation
bin111010010111…
…1111001100000
32010120220000200
41310233321200
530313324041
63011545200
7521065050
oct164577140
963526020
1030604896
1116303a03
12a2bb200
13645740a
1440c9560
152a481b6
hex1d2fe60

30604896 has 288 divisors, whose sum is σ = 113218560. Its totient is φ = 7630848.

The previous prime is 30604867. The next prime is 30604897. The reversal of 30604896 is 69840603.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30604896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30604897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651145 + ... + 651191.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 230604896 is an apocalyptic number.

30604896 is a gapful number since it is divisible by the number (36) 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 30604896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

30604896 is an abundant number, since it is smaller than the sum of its proper divisors (82613664).

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

30604896 is a wasteful number, since it uses less digits than its factorization.

30604896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30604896 is about 5532.1691948096. The cubic root of 30604896 is about 312.7977612057.

The spelling of 30604896 in words is "thirty million, six hundred four thousand, eight hundred ninety-six".