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34043523435 = 32510372710103
BaseRepresentation
bin11111101101001001…
…101111000101101011
310020212112220011202100
4133231021233011223
51024210120222220
623350034504443
72313426113625
oct375511570553
9106775804670
1034043523435
111348a755039
126721135123
13329701500c
14190d48bc15
15d43ae9d90
hex7ed26f16b

34043523435 has 48 divisors (see below), whose sum is σ = 59669535744. Its totient is φ = 17953759296.

The previous prime is 34043523433. The next prime is 34043523469. The reversal of 34043523435 is 53432534043.

It is not a de Polignac number, because 34043523435 - 21 = 34043523433 is a prime.

It is a super-2 number, since 2×340435234352 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34043523435.

It is not an unprimeable number, because it can be changed into a prime (34043523433) 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, 3364594 + ... + 3374696.

It is an arithmetic number, because the mean of its divisors is an integer number (1243115328).

Almost surely, 234043523435 is an apocalyptic number.

34043523435 is a deficient number, since it is larger than the sum of its proper divisors (25626012309).

34043523435 is a wasteful number, since it uses less digits than its factorization.

34043523435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10944 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 34043523435 in words is "thirty-four billion, forty-three million, five hundred twenty-three thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 103 309 515 727 927 1545 2181 3635 4635 6543 10103 10905 30309 32715 50515 74881 90927 151545 224643 374405 454635 673929 1040609 1123215 3121827 3369645 5203045 7344881 9365481 15609135 22034643 36724405 46827405 66103929 110173215 330519645 756522743 2269568229 3782613715 6808704687 11347841145 34043523435