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346770004056 = 2337109181104623
BaseRepresentation
bin1010000101111010001…
…10100101100001011000
31020011001222221101220120
411002331012211201120
521140141110112211
6423145352353240
734024166254320
oct5027506454130
91204058841816
10346770004056
11124078699613
12572586a5820
1326914659918
1412ad88ba280
1590486ccd06
hex50bd1a5858

346770004056 has 128 divisors (see below), whose sum is σ = 1005394790400. Its totient is φ = 97624880640.

The previous prime is 346770004037. The next prime is 346770004069. The reversal of 346770004056 is 650400077643.

It is a happy number.

It is a super-2 number, since 2×3467700040562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 346770003999 and 346770004017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3262161 + ... + 3366783.

It is an arithmetic number, because the mean of its divisors is an integer number (7854646800).

Almost surely, 2346770004056 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 346770004056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502697395200).

346770004056 is an abundant number, since it is smaller than the sum of its proper divisors (658624786344).

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

346770004056 is a wasteful number, since it uses less digits than its factorization.

346770004056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104929 (or 104925 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 346770004056 in words is "three hundred forty-six billion, seven hundred seventy million, four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 181 218 327 362 436 543 654 724 763 872 1086 1267 1308 1448 1526 2172 2289 2534 2616 3052 3801 4344 4578 5068 6104 7602 9156 10136 15204 18312 19729 30408 39458 59187 78916 104623 118374 138103 157832 209246 236748 276206 313869 414309 418492 473496 552412 627738 732361 828618 836984 1104824 1255476 1464722 1657236 2197083 2510952 2929444 3314472 4394166 5858888 8788332 11403907 17576664 18936763 22807814 34211721 37873526 45615628 56810289 68423442 75747052 79827349 91231256 113620578 132557341 136846884 151494104 159654698 227241156 239482047 265114682 273693768 319309396 397672023 454482312 478964094 530229364 638618792 795344046 957928188 1060458728 1590688092 1915856376 2064107167 3181376184 4128214334 6192321501 8256428668 12384643002 14448750169 16512857336 24769286004 28897500338 43346250507 49538572008 57795000676 86692501014 115590001352 173385002028 346770004056