Search a number
-
+
345675615376 = 247131726353101
BaseRepresentation
bin1010000011110111101…
…11110100110010010000
31020001020201122200212111
411001323313310302100
521130420424143001
6422445020035104
733655110151630
oct5017367646220
91201221580774
10345675615376
11123666967163
1256bb2092a94
132679b9c2060
1412a333dc6c0
158ed25a4851
hex507bdf4c90

345675615376 has 160 divisors (see below), whose sum is σ = 876126924288. Its totient is φ = 128214835200.

The previous prime is 345675615367. The next prime is 345675615391. The reversal of 345675615376 is 673516576543.

It is a self number, because there is not a number n which added to its sum of digits gives 345675615376.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6483226 + ... + 6536326.

Almost surely, 2345675615376 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 345675615376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438063462144).

345675615376 is an abundant number, since it is smaller than the sum of its proper divisors (530451308912).

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

345675615376 is a wasteful number, since it uses less digits than its factorization.

345675615376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53409 (or 53403 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 58.

The spelling of 345675615376 in words is "three hundred forty-five billion, six hundred seventy-five million, six hundred fifteen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 263 272 364 442 476 526 728 884 952 1052 1456 1547 1768 1841 1904 2104 3094 3419 3536 3682 4208 4471 6188 6838 7364 8942 12376 13676 14728 17884 23933 24752 27352 29456 31297 35768 47866 53101 54704 58123 62594 71536 95732 106202 116246 125188 191464 212404 232492 250376 371707 382928 406861 424808 464984 500752 690313 743414 813722 849616 902717 929968 1380626 1486828 1627444 1805434 2761252 2973656 3254888 3610868 4832191 5522504 5947312 6319019 6509776 7221736 9664382 11045008 11735321 12638038 13965563 14443472 19328764 23470642 25276076 27931126 38657528 46941284 50552152 55862252 77315056 82147247 93882568 97758941 101104304 111724504 164294494 181552319 187765136 195517882 223449008 237414571 328588988 363104638 391035764 474829142 657177976 726209276 782071528 949658284 1270866233 1314355952 1452418552 1564143056 1661901997 1899316568 2541732466 2904837104 3086389423 3323803994 3798633136 5083464932 6172778846 6647607988 10166929864 12345557692 13295215976 20333859728 21604725961 24691115384 26590431952 43209451922 49382230768 86418903844 172837807688 345675615376