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30965004 = 223673741
BaseRepresentation
bin111011000011…
…1110100001100
32011021012000000
41312013310030
530411340004
63023404300
7524124660
oct166076414
964235000
1030965004
111652a514
12a453690
1365522b5
1441808a0
152ab9c39
hex1d87d0c

30965004 has 168 divisors, whose sum is σ = 97687968. Its totient is φ = 8398080.

The previous prime is 30964991. The next prime is 30965009. The reversal of 30965004 is 40056903.

It is a happy number.

30965004 is a `hidden beast` number, since 3 + 0 + 9 + 650 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30965009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 755224 + ... + 755264.

It is an arithmetic number, because the mean of its divisors is an integer number (581476).

Almost surely, 230965004 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 30965004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48843984).

30965004 is an abundant number, since it is smaller than the sum of its proper divisors (66722964).

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

30965004 is a wasteful number, since it uses less digits than its factorization.

30965004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 30965004 is about 5564.6207417936. The cubic root of 30965004 is about 314.0198102368.

It can be divided in two parts, 3096 and 5004, that added together give a square (8100 = 902).

The spelling of 30965004 in words is "thirty million, nine hundred sixty-five thousand, four".