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345161676808 = 231347592574657
BaseRepresentation
bin1010000010111010011…
…11010011100000001000
31012222220220120220200201
411001131033103200020
521123342342124213
6422322020341544
733636266562514
oct5013517234010
91188826526621
10345161676808
1112342284a543
1256a89b448b4
13267193997b0
14129c5059144
158ea23d66dd
hex505d3d3808

345161676808 has 128 divisors (see below), whose sum is σ = 726826867200. Its totient is φ = 152644091904.

The previous prime is 345161676791. The next prime is 345161676859. The reversal of 345161676808 is 808676161543.

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, 74114416 + ... + 74119072.

It is an arithmetic number, because the mean of its divisors is an integer number (5678334900).

Almost surely, 2345161676808 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 345161676808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363413433600).

345161676808 is an abundant number, since it is smaller than the sum of its proper divisors (381665190392).

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

345161676808 is a wasteful number, since it uses less digits than its factorization.

345161676808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 345161676808 in words is "three hundred forty-five billion, one hundred sixty-one million, six hundred seventy-six thousand, eight hundred eight".

Divisors: 1 2 4 8 13 26 47 52 59 94 104 118 188 236 257 376 472 514 611 767 1028 1222 1534 2056 2444 2773 3068 3341 4657 4888 5546 6136 6682 9314 11092 12079 13364 15163 18628 22184 24158 26728 30326 36049 37256 48316 60541 60652 72098 96632 121082 121304 144196 157027 197119 218879 242164 274763 288392 314054 394238 437758 484328 549526 628108 712661 788476 875516 1099052 1196849 1256216 1425322 1576952 1751032 2198104 2393698 2845427 2850644 3571919 4787396 5690854 5701288 7143838 9264593 9574792 11381708 12913861 14287676 15559037 18529186 22763416 25827722 28575352 31118074 37058372 51655444 56251903 62236148 70614091 74116744 103310888 112503806 124472296 141228182 167880193 225007612 282456364 335760386 450015224 564912728 671520772 731274739 917983183 1343041544 1462549478 1835966366 2925098956 3318862277 3671932732 5850197912 6637724554 7343865464 13275449108 26550898216 43145209601 86290419202 172580838404 345161676808