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34039806660 = 22335461136739
BaseRepresentation
bin11111101100111011…
…100011101011000100
310020212021220100022000
4133230323203223010
51024203142303120
623345423105300
72313352403556
oct375473435304
9106767810260
1034039806660
1113488646622
12671ba42230
133296313342
14190cba14d6
15d43613990
hex7ecee3ac4

34039806660 has 96 divisors (see below), whose sum is σ = 106132118400. Its totient is φ = 9057525120.

The previous prime is 34039806641. The next prime is 34039806683. The reversal of 34039806660 is 6660893043.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180571 + ... + 317309.

It is an arithmetic number, because the mean of its divisors is an integer number (1105542900).

Almost surely, 234039806660 is an apocalyptic number.

34039806660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34039806660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53066059200).

34039806660 is an abundant number, since it is smaller than the sum of its proper divisors (72092311740).

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

34039806660 is a wasteful number, since it uses less digits than its factorization.

34039806660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137218 (or 137210 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 34039806660 in words is "thirty-four billion, thirty-nine million, eight hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 461 540 922 1383 1844 2305 2766 4149 4610 5532 6915 8298 9220 12447 13830 16596 20745 24894 27660 41490 49788 62235 82980 124470 136739 248940 273478 410217 546956 683695 820434 1230651 1367390 1640868 2051085 2461302 2734780 3691953 4102170 4922604 6153255 7383906 8204340 12306510 14767812 18459765 24613020 36919530 63036679 73839060 126073358 189110037 252146716 315183395 378220074 567330111 630366790 756440148 945550185 1134660222 1260733580 1701990333 1891100370 2269320444 2836650555 3403980666 3782200740 5673301110 6807961332 8509951665 11346602220 17019903330 34039806660