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30903966 = 2322973811
BaseRepresentation
bin111010111100…
…0111010011110
32011011002021100
41311320322132
530402411331
63022213530
7523452012
oct165707236
964132240
1030903966
1116498675
12a4242a6
136530592
144166542
152aa6ae6
hex1d78e9e

30903966 has 48 divisors (see below), whose sum is σ = 70302960. Its totient is φ = 9797760.

The previous prime is 30903959. The next prime is 30903989. The reversal of 30903966 is 66930903.

It is a super-2 number, since 2×309039662 = 1910110229058312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30903966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37701 + ... + 38511.

It is an arithmetic number, because the mean of its divisors is an integer number (1464645).

Almost surely, 230903966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30903966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35151480).

30903966 is an abundant number, since it is smaller than the sum of its proper divisors (39398994).

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

30903966 is a wasteful number, since it uses less digits than its factorization.

30903966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 30903966 is about 5559.1335655838. The cubic root of 30903966 is about 313.8133432950.

It can be divided in two parts, 3090 and 3966, that added together give a square (7056 = 842).

The spelling of 30903966 in words is "thirty million, nine hundred three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 73 87 146 174 219 261 438 522 657 811 1314 1622 2117 2433 4234 4866 6351 7299 12702 14598 19053 23519 38106 47038 59203 70557 118406 141114 177609 211671 355218 423342 532827 1065654 1716887 3433774 5150661 10301322 15451983 30903966