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34707430760346 = 23217113422976341
BaseRepresentation
bin1111110010000111101000…
…00101001101111110011010
311112212222221112011121001100
413321003310011031332122
514022121304233312341
6201452212405332230
710211346326553231
oct771036405157632
9145788845147040
1034707430760346
111007137a930573
123a86648407076
131649b86ccc216
1487dbc483bb18
15402c473933b6
hex1f90f414df9a

34707430760346 has 24 divisors (see below), whose sum is σ = 79622929392084. Its totient is φ = 10888605728640.

The previous prime is 34707430760341. The next prime is 34707430760357. The reversal of 34707430760346 is 64306703470743.

34707430760346 is a `hidden beast` number, since 3 + 470 + 74 + 3 + 0 + 7 + 60 + 3 + 46 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32610324197025 + 2097106563321 = 5710545^2 + 1448139^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34707430760292 and 34707430760301.

It is not an unprimeable number, because it can be changed into a prime (34707430760341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56711487865 + ... + 56711488476.

Almost surely, 234707430760346 is an apocalyptic number.

34707430760346 is an abundant number, since it is smaller than the sum of its proper divisors (44915498631738).

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

34707430760346 is a wasteful number, since it uses less digits than its factorization.

34707430760346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113422976366 (or 113422976363 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 54.

The spelling of 34707430760346 in words is "thirty-four trillion, seven hundred seven billion, four hundred thirty million, seven hundred sixty thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 113422976341 226845952682 340268929023 680537858046 1020806787069 1928190597797 2041613574138 3856381195594 5784571793391 11569143586782 17353715380173 34707430760346