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345705043684 = 2271113257335953
BaseRepresentation
bin1010000011111011010…
…00000101011011100100
31020001022210000210220211
411001331220011123210
521131000442344214
6422451550505204
733655615246510
oct5017550053344
91201283023824
10345705043684
11123681537080
1256bbbb05204
13267a4b26a60
1412a3729d140
158ed4e690c4
hex507da056e4

345705043684 has 96 divisors (see below), whose sum is σ = 815449049856. Its totient is φ = 123845345280.

The previous prime is 345705043601. The next prime is 345705043703. The reversal of 345705043684 is 486340507543.

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, 861052 + ... + 1197004.

It is an arithmetic number, because the mean of its divisors is an integer number (8494260936).

Almost surely, 2345705043684 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 345705043684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407724524928).

345705043684 is an abundant number, since it is smaller than the sum of its proper divisors (469744006172).

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

345705043684 is a wasteful number, since it uses less digits than its factorization.

345705043684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336245 (or 336243 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 345705043684 in words is "three hundred forty-five billion, seven hundred five million, forty-three thousand, six hundred eighty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 257 286 308 364 514 572 1001 1028 1799 2002 2827 3341 3598 4004 5654 6682 7196 11308 13364 19789 23387 36751 39578 46774 73502 79156 93548 147004 257257 335953 514514 671906 1029028 1343812 2351671 3695483 4367389 4703342 7390966 8734778 9406684 14781932 17469556 25868381 30571723 48041279 51736762 61143446 86339921 96082558 103473524 122286892 172679842 192165116 336288953 345359684 604379447 672577906 949739131 1122418973 1208758894 1345155812 1899478262 2244837946 2417517788 3798956524 4489675892 6648173917 7856932811 12346608703 13296347834 15713865622 24693217406 26592695668 31427731244 49386434812 86426260921 172852521842 345705043684