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346263034320656 = 241773314591190359
BaseRepresentation
bin100111010111011001010010…
…1001010001101011100010000
31200102000102102012220002201222
41032232302211022031130100
5330341133143241230111
63224235013021544212
7132635451533064515
oct11656624512153420
91612012365802658
10346263034320656
11a036a3678a7222
1232a04119715068
1311b2960561870b
14617131265330c
152a071697ad7db
hex13aeca528d710

346263034320656 has 80 divisors (see below), whose sum is σ = 711805663843200. Its totient is φ = 162613339858944.

The previous prime is 346263034320629. The next prime is 346263034320727. The reversal of 346263034320656 is 656023430362643.

It is a junction number, because it is equal to n+sod(n) for n = 346263034320598 and 346263034320607.

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 15 ways as a sum of consecutive naturals, for example, 290294405 + ... + 291484763.

It is an arithmetic number, because the mean of its divisors is an integer number (8897570798040).

Almost surely, 2346263034320656 is an apocalyptic number.

It is an amenable number.

346263034320656 is an abundant number, since it is smaller than the sum of its proper divisors (365542629522544).

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

346263034320656 is a wasteful number, since it uses less digits than its factorization.

346263034320656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192576 (or 1192570 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 53.

The spelling of 346263034320656 in words is "three hundred forty-six trillion, two hundred sixty-three billion, thirty-four million, three hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 733 1459 1466 2918 2932 5836 5864 11672 11728 12461 23344 24803 24922 49606 49844 99212 99688 198424 199376 396848 1069447 1190359 2138894 2380718 4277788 4761436 8555576 9522872 17111152 18180599 19045744 20236103 36361198 40472206 72722396 80944412 145444792 161888824 290889584 323777648 872533147 1736733781 1745066294 3473467562 3490132588 6946935124 6980265176 13893870248 13960530352 14833063499 27787740496 29524474277 29666126998 59048948554 59332253996 118097897108 118664507992 236195794216 237329015984 472391588432 1273025861473 2546051722946 5092103445892 10184206891784 20368413783568 21641439645041 43282879290082 86565758580164 173131517160328 346263034320656