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346093882356 = 2231753110329021
BaseRepresentation
bin1010000100101001100…
…11011000101111110100
31020002022212200212022010
411002110303120233310
521132300013213411
6422554321004220
734001346314115
oct5022463305764
91202285625263
10346093882356
11123860a79352
12570aa183670
132683755b001
1412a72b9a20c
1590091757a6
hex5094cd8bf4

346093882356 has 96 divisors (see below), whose sum is σ = 872008478208. Its totient is φ = 106429573120.

The previous prime is 346093882331. The next prime is 346093882361. The reversal of 346093882356 is 653288390643.

It is a super-2 number, since 2×3460938823562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 346093882296 and 346093882305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11911126 + ... + 11940146.

It is an arithmetic number, because the mean of its divisors is an integer number (9083421648).

Almost surely, 2346093882356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346093882356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436004239104).

346093882356 is an abundant number, since it is smaller than the sum of its proper divisors (525914595852).

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

346093882356 is a wasteful number, since it uses less digits than its factorization.

346093882356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30201 (or 30199 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 346093882356 in words is "three hundred forty-six billion, ninety-three million, eight hundred eighty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1103 1802 2206 2703 3309 3604 4412 5406 6618 10812 13236 18751 29021 37502 56253 58042 58459 75004 87063 112506 116084 116918 174126 175377 225012 233836 348252 350754 493357 701508 986714 993803 1480071 1538113 1973428 1987606 2960142 2981409 3076226 3975212 4614339 5920284 5962818 6152452 9228678 11925636 18457356 26147921 32010163 52295842 64020326 78443763 96030489 104591684 128040652 156887526 192060978 313775052 384121956 544172771 1088345542 1632518313 1696538639 2176691084 3265036626 3393077278 5089615917 6530073252 6786154556 10179231834 20358463668 28841156863 57682313726 86523470589 115364627452 173046941178 346093882356