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343360970221356 = 2232173662111532033
BaseRepresentation
bin100111000010010001111010…
…0101010001110011100101100
31200000201222200101022001121100
41032010203310222032130230
5330001111231334040411
63214133504020403100
7132216003634204623
oct11604436452163454
91600658611261540
10343360970221356
119a45062a31925a
12326157a6246490
1311978a53a9a119
1460b0a8c5d86ba
1529a6917e7e456
hex13848f4a8e72c

343360970221356 has 72 divisors (see below), whose sum is σ = 918998647270704. Its totient is φ = 107720724234240.

The previous prime is 343360970221349. The next prime is 343360970221433. The reversal of 343360970221356 is 653122079063343.

343360970221356 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 60 + 9 + 7 + 0 + 221 + 356 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223355116 + ... + 224887148.

It is an arithmetic number, because the mean of its divisors is an integer number (12763870100982).

Almost surely, 2343360970221356 is an apocalyptic number.

343360970221356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

343360970221356 is an abundant number, since it is smaller than the sum of its proper divisors (575637677049348).

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

343360970221356 is a wasteful number, since it uses less digits than its factorization.

343360970221356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898271 (or 1898266 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 343360970221356 in words is "three hundred forty-three trillion, three hundred sixty billion, nine hundred seventy million, two hundred twenty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 366211 732422 1098633 1464844 1532033 2197266 3064066 3295899 4394532 4596099 6128132 6225587 6591798 9192198 12451174 13183596 13788297 18384396 18676761 24902348 26044561 27576594 37353522 52089122 55153188 56030283 74707044 78133683 104178244 112060566 156267366 224121132 234401049 312534732 468802098 937604196 561047336963 1122094673926 1683142010889 2244189347852 3366284021778 5049426032667 6732568043556 9537804728371 10098852065334 19075609456742 20197704130668 28613414185113 38151218913484 57226828370226 85840242555339 114453656740452 171680485110678 343360970221356