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34074343758 = 23713353176791
BaseRepresentation
bin11111101110111111…
…010011100101001110
310020221200220000021210
4133232333103211032
51024241013000013
623353055235250
72314252100040
oct375677234516
9106850800253
1034074343758
11134a6095884
12672b518b26
1332a05164b0
1419135d1a90
15d46686cc3
hex7eefd394e

34074343758 has 64 divisors (see below), whose sum is σ = 84113390592. Its totient is φ = 8961131520.

The previous prime is 34074343711. The next prime is 34074343781. The reversal of 34074343758 is 85734347043.

It is a happy number.

It is a super-2 number, since 2×340743437582 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 104343 + ... + 281133.

It is an arithmetic number, because the mean of its divisors is an integer number (1314271728).

Almost surely, 234074343758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34074343758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42056695296).

34074343758 is an abundant number, since it is smaller than the sum of its proper divisors (50039046834).

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

34074343758 is a wasteful number, since it uses less digits than its factorization.

34074343758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177169.

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 34074343758 in words is "thirty-four billion, seventy-four million, three hundred forty-three thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 353 546 706 1059 2118 2471 4589 4942 7413 9178 13767 14826 27534 32123 64246 96369 176791 192738 353582 530373 1060746 1237537 2298283 2475074 3712611 4596566 6894849 7425222 13789698 16087981 32175962 48263943 62407223 96527886 124814446 187221669 374443338 436850561 811293899 873701122 1310551683 1622587798 2433881697 2621103366 4867763394 5679057293 11358114586 17037171879 34074343758