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34314754005 = 335743844463
BaseRepresentation
bin11111111101010100…
…011001011111010101
310021120110021010011000
4133331110121133111
51030234034112010
623433004133513
72323231411410
oct377524313725
9107513233130
1034314754005
1113609869634
126797b37299
13330b27bc8c
1419374d2b77
15d5c8247c0
hex7fd5197d5

34314754005 has 64 divisors (see below), whose sum is σ = 71340318720. Its totient is φ = 15321918528.

The previous prime is 34314753989. The next prime is 34314754039. The reversal of 34314754005 is 50045741343.

It is not a de Polignac number, because 34314754005 - 24 = 34314753989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381597 + ... + 462866.

It is an arithmetic number, because the mean of its divisors is an integer number (1114692480).

Almost surely, 234314754005 is an apocalyptic number.

34314754005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34314754005 is an abundant number, since it is smaller than the sum of its proper divisors (37025564715).

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

34314754005 is a wasteful number, since it uses less digits than its factorization.

34314754005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844527 (or 844521 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 34314754005 in words is "thirty-four billion, three hundred fourteen million, seven hundred fifty-four thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 301 315 387 645 903 945 1161 1505 1935 2709 4515 5805 8127 13545 40635 844463 2533389 4222315 5911241 7600167 12666945 17733723 22800501 29556205 36311909 38000835 53201169 88668615 108935727 114002505 159603507 181559545 254183363 266005845 326807181 544678635 762550089 798017535 980421543 1270916815 1634035905 2287650267 3812750445 4902107715 6862950801 11438251335 34314754005