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30664638 = 23237411123
BaseRepresentation
bin111010011111…
…0011110111110
32010200220222100
41310332132332
530322232023
63013125530
7521434164
oct164763676
963626870
1030664638
1116344884
12a3298a6
136478674
144103234
152a5ac43
hex1d3e7be

30664638 has 48 divisors (see below), whose sum is σ = 69962256. Its totient is φ = 9694080.

The previous prime is 30664637. The next prime is 30664657. The reversal of 30664638 is 83646603.

30664638 is a `hidden beast` number, since 3 + 0 + 6 + 646 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30664637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26745 + ... + 27867.

It is an arithmetic number, because the mean of its divisors is an integer number (1457547).

Almost surely, 230664638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30664638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34981128).

30664638 is an abundant number, since it is smaller than the sum of its proper divisors (39297618).

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

30664638 is a wasteful number, since it uses less digits than its factorization.

30664638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 30664638 is about 5537.5660718406. The cubic root of 30664638 is about 313.0011602267.

The spelling of 30664638 in words is "thirty million, six hundred sixty-four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1123 1517 2246 3034 3369 4551 6738 9102 10107 13653 20214 27306 41551 46043 83102 92086 124653 138129 249306 276258 373959 414387 747918 828774 1703591 3407182 5110773 10221546 15332319 30664638