Search a number
-
+
30664704 = 211372331
BaseRepresentation
bin111010011111…
…0100000000000
32010200221001210
41310332200000
530322232304
63013130120
7521434320
oct164764000
963627053
1030664704
1116344934
12a329940
1364786c5
144103280
152a5ac89
hex1d3e800

30664704 has 192 divisors, whose sum is σ = 100638720. Its totient is φ = 8110080.

The previous prime is 30664693. The next prime is 30664709. The reversal of 30664704 is 40746603.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (30664709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989169 + ... + 989199.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 230664704 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 30664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

30664704 is an abundant number, since it is smaller than the sum of its proper divisors (69974016).

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

30664704 is a wasteful number, since it uses less digits than its factorization.

30664704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 30664704 is about 5537.5720311342. The cubic root of 30664704 is about 313.0013847857.

The spelling of 30664704 in words is "thirty million, six hundred sixty-four thousand, seven hundred four".