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334112341344340 = 225138914438735581
BaseRepresentation
bin100101111110111111001011…
…1011010111100000001010100
31121210222211100112101122021111
41023331332113122330001110
5322243044033341004330
63142333031330224404
7130242551166641566
oct11375762732740124
91553884315348244
10334112341344340
1197505280441979
1231581263125104
1311457873c29230
145c711a3257336
15289606702732a
hex12fdf976bc054

334112341344340 has 48 divisors (see below), whose sum is σ = 764097886999440. Its totient is φ = 121978438179840.

The previous prime is 334112341344337. The next prime is 334112341344377. The reversal of 334112341344340 is 43443143211433.

It can be written as a sum of positive squares in 8 ways, for example, as 22029449150916 + 312082892193424 = 4693554^2 + 17665868^2 .

It is a super-2 number, since 2×3341123413443402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334112341344293 and 334112341344302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7219344651 + ... + 7219390930.

It is an arithmetic number, because the mean of its divisors is an integer number (15918705979155).

Almost surely, 2334112341344340 is an apocalyptic number.

It is an amenable number.

334112341344340 is an abundant number, since it is smaller than the sum of its proper divisors (429985545655100).

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

334112341344340 is a wasteful number, since it uses less digits than its factorization.

334112341344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14438735692 (or 14438735690 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

Adding to 334112341344340 its reverse (43443143211433), we get a palindrome (377555484555773).

The spelling of 334112341344340 in words is "three hundred thirty-four trillion, one hundred twelve billion, three hundred forty-one million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 4628 5785 11570 23140 14438735581 28877471162 57754942324 72193677905 144387355810 187703562553 288774711620 375407125106 750814250212 938517812765 1285047466709 1877035625530 2570094933418 3754071251060 5140189866836 6425237333545 12850474667090 16705617067217 25700949334180 33411234134434 66822468268868 83528085336085 167056170672170 334112341344340