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30064008 = 23313167577
BaseRepresentation
bin111001010101…
…1110110001000
32002120102001210
41302223312020
530144022013
62552213120
7513353112
oct162536610
962512053
1030064008
1115a74597
12a09a1a0
1362c8170
143dc83b2
15298ccc3
hex1cabd88

30064008 has 64 divisors (see below), whose sum is σ = 81567360. Its totient is φ = 9179136.

The previous prime is 30063997. The next prime is 30064019. The reversal of 30064008 is 80046003.

It is an interprime number because it is at equal distance from previous prime (30063997) and next prime (30064019).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51816 + ... + 52392.

It is an arithmetic number, because the mean of its divisors is an integer number (1274490).

Almost surely, 230064008 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 30064008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40783680).

30064008 is an abundant number, since it is smaller than the sum of its proper divisors (51503352).

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

30064008 is a wasteful number, since it uses less digits than its factorization.

30064008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30064008 is about 5483.0655659038. The cubic root of 30064008 is about 310.9440799917.

The spelling of 30064008 in words is "thirty million, sixty-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 312 334 501 577 668 1002 1154 1336 1731 2004 2171 2308 3462 4008 4342 4616 6513 6924 7501 8684 13026 13848 15002 17368 22503 26052 30004 45006 52104 60008 90012 96359 180024 192718 289077 385436 578154 770872 1156308 1252667 2312616 2505334 3758001 5010668 7516002 10021336 15032004 30064008