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34092107994 = 2372733175011
BaseRepresentation
bin11111110000000011…
…000100100011011010
310020222221022112020110
4133300003010203122
51024310034423434
623354532105150
72314556064600
oct376003044332
9106887275213
1034092107994
111350511936a
1267354651b6
1332a40c6089
141915ad7870
15d47ee54e9
hex7f00c48da

34092107994 has 96 divisors (see below), whose sum is σ = 80672590656. Its totient is φ = 9574951680.

The previous prime is 34092107993. The next prime is 34092108077. The reversal of 34092107994 is 49970129043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34092107993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6800949 + ... + 6805959.

It is an arithmetic number, because the mean of its divisors is an integer number (840339486).

Almost surely, 234092107994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34092107994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40336295328).

34092107994 is an abundant number, since it is smaller than the sum of its proper divisors (46580482662).

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

34092107994 is a wasteful number, since it uses less digits than its factorization.

34092107994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 34092107994 in words is "thirty-four billion, ninety-two million, one hundred seven thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 317 438 511 634 951 1022 1533 1902 2219 3066 3577 4438 5011 6657 7154 10022 10731 13314 15033 15533 21462 23141 30066 31066 35077 46282 46599 69423 70154 93198 105231 138846 161987 210462 245539 323974 365803 485961 491078 731606 736617 971922 1097409 1133909 1473234 1588487 2194818 2267818 2560621 3176974 3401727 4765461 5121242 6803454 7681863 9530922 11119409 15363726 17924347 22238818 33358227 35848694 53773041 66716454 77835863 107546082 115959551 155671726 231919102 233507589 347878653 467015178 695757306 811716857 1623433714 2435150571 4870301142 5682017999 11364035998 17046053997 34092107994