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34074337005 = 3251744541617
BaseRepresentation
bin11111101110111111…
…010001111011101101
310020221200212200000200
4133232333101323231
51024241012241010
623353055144113
72314252041252
oct375677217355
9106850780020
1034074337005
11134a60907a5
12672b515039
1332a05133b7
1419135cd429
15d46684cc0
hex7eefd1eed

34074337005 has 24 divisors (see below), whose sum is σ = 62536431672. Its totient is φ = 17103980544.

The previous prime is 34074337001. The next prime is 34074337043. The reversal of 34074337005 is 50073347043.

It can be written as a sum of positive squares in 4 ways, for example, as 364275396 + 33710061609 = 19086^2 + 183603^2 .

It is not a de Polignac number, because 34074337005 - 22 = 34074337001 is a prime.

It is a super-2 number, since 2×340743370052 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34074337001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22270044 + ... + 22271573.

It is an arithmetic number, because the mean of its divisors is an integer number (2605684653).

Almost surely, 234074337005 is an apocalyptic number.

It is an amenable number.

34074337005 is a deficient number, since it is larger than the sum of its proper divisors (28462094667).

34074337005 is a wasteful number, since it uses less digits than its factorization.

34074337005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44541645 (or 44541642 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The spelling of 34074337005 in words is "thirty-four billion, seventy-four million, three hundred thirty-seven thousand, five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 44541617 133624851 222708085 400874553 668124255 757207489 2004372765 2271622467 3786037445 6814867401 11358112335 34074337005