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34414104654 = 232191272573083
BaseRepresentation
bin100000000011001111…
…011001000001001110
310021211101012122121200
4200003033121001032
51030440002322104
623450513410330
72325546030426
oct400317310116
9107741178550
1034414104654
111365a957206
1268052699a6
133325a26047
141946795486
15d663ebb39
hex8033d904e

34414104654 has 96 divisors (see below), whose sum is σ = 79439892480. Its totient is φ = 10736603136.

The previous prime is 34414104623. The next prime is 34414104677. The reversal of 34414104654 is 45640141443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11160997 + ... + 11164079.

It is an arithmetic number, because the mean of its divisors is an integer number (827498880).

Almost surely, 234414104654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34414104654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39719946240).

34414104654 is an abundant number, since it is smaller than the sum of its proper divisors (45025787826).

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

34414104654 is a wasteful number, since it uses less digits than its factorization.

34414104654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 34414104654 in words is "thirty-four billion, four hundred fourteen million, one hundred four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 257 342 381 514 762 771 1143 1542 2286 2313 2413 3083 4626 4826 4883 6166 7239 9249 9766 14478 14649 18498 21717 27747 29298 32639 43434 43947 55494 58577 65278 87894 97917 117154 175731 195834 293751 351462 391541 527193 587502 620141 783082 792331 1054386 1174623 1240282 1584662 1860423 2349246 2376993 3523869 3720846 4753986 5581269 7047738 7130979 7439279 11162538 14261958 14878558 15054289 22317837 30108578 44635674 45162867 66953511 90325734 100626037 133907022 135488601 201252074 270977202 301878111 603756222 905634333 1811268666 1911894703 3823789406 5735684109 11471368218 17207052327 34414104654