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34680472770 = 23517101966733
BaseRepresentation
bin100000010011000111…
…100000010011000010
310022111221102112222110
4200103013200103002
51032011200112040
623533150520150
72335262104026
oct402307402302
9108457375873
1034680472770
111378724a549
12687a506056
133368c79a08
14196dcd2386
15d7e9b5980
hex8131e04c2

34680472770 has 64 divisors (see below), whose sum is σ = 88217009280. Its totient is φ = 8695446528.

The previous prime is 34680472763. The next prime is 34680472777. The reversal of 34680472770 is 7727408643.

It is an interprime number because it is at equal distance from previous prime (34680472763) and next prime (34680472777).

It is a super-2 number, since 2×346804727702 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34680472777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486324 + ... + 553056.

It is an arithmetic number, because the mean of its divisors is an integer number (1378390770).

Almost surely, 234680472770 is an apocalyptic number.

34680472770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34680472770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108504640).

34680472770 is an abundant number, since it is smaller than the sum of its proper divisors (53536536510).

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

34680472770 is a wasteful number, since it uses less digits than its factorization.

34680472770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67779.

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 34680472770 in words is "thirty-four billion, six hundred eighty million, four hundred seventy-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 1019 2038 3057 5095 6114 10190 15285 17323 30570 34646 51969 66733 86615 103938 133466 173230 200199 259845 333665 400398 519690 667330 1000995 1134461 2001990 2268922 3403383 5672305 6806766 11344610 17016915 34033830 68000927 136001854 204002781 340004635 408005562 680009270 1020013905 1156015759 2040027810 2312031518 3468047277 5780078795 6936094554 11560157590 17340236385 34680472770