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34301411424 = 2532717014589
BaseRepresentation
bin11111111100100001…
…100000000001100000
310021112112011020120100
4133330201200001200
51030222130131144
623431410142400
72323010120640
oct377441400140
9107475136510
1034301411424
1113602286105
126793581a00
133308589b67
14193581c520
15d5b58b269
hex7fc860060

34301411424 has 72 divisors (see below), whose sum is σ = 111479593680. Its totient is φ = 9800402688.

The previous prime is 34301411423. The next prime is 34301411447. The reversal of 34301411424 is 42411410343.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34301411423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8505279 + ... + 8509310.

It is an arithmetic number, because the mean of its divisors is an integer number (1548327690).

Almost surely, 234301411424 is an apocalyptic number.

It is an amenable number.

34301411424 is an abundant number, since it is smaller than the sum of its proper divisors (77178182256).

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

34301411424 is a wasteful number, since it uses less digits than its factorization.

34301411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17014612 (or 17014601 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34301411424 its reverse (42411410343), we get a palindrome (76712821767).

The spelling of 34301411424 in words is "thirty-four billion, three hundred one million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 17014589 34029178 51043767 68058356 102087534 119102123 136116712 153131301 204175068 238204246 272233424 306262602 357306369 408350136 476408492 544466848 612525204 714612738 816700272 952816984 1071919107 1225050408 1429225476 1633400544 1905633968 2143838214 2450100816 2858450952 3811267936 4287676428 4900201632 5716901904 8575352856 11433803808 17150705712 34301411424