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30346336804 = 22722325412
BaseRepresentation
bin11100010000110010…
…000101101000100100
32220022212222122011011
4130100302011220210
5444122130234204
621535123152004
72123003415100
oct342062055044
986285878134
1030346336804
1111962796aa3
125a6ab15604
132b28067b14
14167c440900
15bc923c304
hex710c85a24

30346336804 has 81 divisors (see below), whose sum is σ = 64698775281. Its totient is φ = 12417118560.

The previous prime is 30346336777. The next prime is 30346336817. The reversal of 30346336804 is 40863364303.

The square root of 30346336804 is 174202.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12056479204 + 18289857600 = 109802^2 + 135240^2 .

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 26 ways as a sum of consecutive naturals, for example, 56092774 + ... + 56093314.

Almost surely, 230346336804 is an apocalyptic number.

30346336804 is the 174202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30346336804

30346336804 is an abundant number, since it is smaller than the sum of its proper divisors (34352438477).

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

30346336804 is an equidigital number, since it uses as much as digits as its factorization.

30346336804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 30346336804 in words is "thirty billion, three hundred forty-six million, three hundred thirty-six thousand, eight hundred four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 541 644 1058 1082 1127 2116 2164 2254 3703 3787 4508 7406 7574 12443 14812 15148 24886 25921 26509 49772 51842 53018 87101 103684 106036 174202 286189 292681 348404 572378 585362 609707 1144756 1170724 1219414 2003323 2048767 2438828 4006646 4097534 6731663 8013292 8195068 13463326 14023261 14341369 26926652 28046522 28682738 47121641 56093044 57365476 94243282 154828249 188486564 309656498 329851487 619312996 659702974 1083797743 1319405948 2167595486 4335190972 7586584201 15173168402 30346336804