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34531155834 = 2372376594817
BaseRepresentation
bin100000001010001101…
…111001111101111010
310022010112110110122120
4200022031321331322
51031204433441314
623510254302110
72331466660500
oct401215717572
9108115413576
1034531155834
111370aa3451a
1268384b7936
1333440599b6
141958144670
15d7181d8a9
hex80a379f7a

34531155834 has 96 divisors (see below), whose sum is σ = 82651440960. Its totient is φ = 9582838272.

The previous prime is 34531155829. The next prime is 34531155839. The reversal of 34531155834 is 43855113543.

It is an interprime number because it is at equal distance from previous prime (34531155829) and next prime (34531155839).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34531155839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7166194 + ... + 7171010.

It is an arithmetic number, because the mean of its divisors is an integer number (860952510).

Almost surely, 234531155834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34531155834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41325720480).

34531155834 is an abundant number, since it is smaller than the sum of its proper divisors (48120285126).

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

34531155834 is a wasteful number, since it uses less digits than its factorization.

34531155834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5525 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 34531155834 in words is "thirty-four billion, five hundred thirty-one million, one hundred fifty-five thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 659 777 1318 1554 1813 1977 3626 3954 4613 4817 5439 9226 9634 10878 13839 14451 24383 27678 28902 32291 33719 48766 64582 67438 73149 96873 101157 146298 170681 178229 193746 202314 236033 341362 356458 472066 512043 534687 708099 1024086 1069374 1194767 1247603 1416198 2389534 2495206 3174403 3584301 3742809 6348806 7168602 7485618 8733221 9523209 17466442 19046418 22220821 26199663 44441642 52399326 66662463 117452911 133324926 155545747 234905822 311091494 352358733 466637241 704717466 822170377 933274482 1644340754 2466511131 4933022262 5755192639 11510385278 17265577917 34531155834