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30044064 = 2531312389
BaseRepresentation
bin111001010011…
…0111110100000
32002112101201010
41302212332200
530142402224
62551540520
7513241011
oct162467640
962471633
1030044064
1115a60606
12a08a740
1362bc06b
143dc1008
152986e29
hex1ca6fa0

30044064 has 48 divisors (see below), whose sum is σ = 79500960. Its totient is φ = 9934080.

The previous prime is 30044059. The next prime is 30044081. The reversal of 30044064 is 46044003.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30044064.

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 7 ways as a sum of consecutive naturals, for example, 11382 + ... + 13770.

It is an arithmetic number, because the mean of its divisors is an integer number (1656270).

Almost surely, 230044064 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 30044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39750480).

30044064 is an abundant number, since it is smaller than the sum of its proper divisors (49456896).

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

30044064 is a wasteful number, since it uses less digits than its factorization.

30044064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 30044064 is about 5481.2465735451. The cubic root of 30044064 is about 310.8753062767.

Adding to 30044064 its reverse (46044003), we get a palindrome (76088067).

The spelling of 30044064 in words is "thirty million, forty-four thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 2389 3144 4192 4778 6288 7167 9556 12576 14334 19112 28668 38224 57336 76448 114672 229344 312959 625918 938877 1251836 1877754 2503672 3755508 5007344 7511016 10014688 15022032 30044064