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834182680 = 23529739851
BaseRepresentation
bin110001101110001…
…001111000011000
32011010122212111211
4301232021320120
53202022321210
6214435232504
726446302322
oct6156117030
92133585454
10834182680
11398968881
121b3448734
13103a90926
147cb06612
154d37a38a
hex31b89e18

834182680 has 64 divisors (see below), whose sum is σ = 1968429600. Its totient is φ = 317721600.

The previous prime is 834182641. The next prime is 834182693. The reversal of 834182680 is 86281438.

It is a super-2 number, since 2×8341826802 = 1391721487223964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79755 + ... + 89605.

Almost surely, 2834182680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834182680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984214800).

834182680 is an abundant number, since it is smaller than the sum of its proper divisors (1134246920).

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

834182680 is a wasteful number, since it uses less digits than its factorization.

834182680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9964 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 834182680 is about 28882.2208287382. The cubic root of 834182680 is about 941.3556266516.

The spelling of 834182680 in words is "eight hundred thirty-four million, one hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 73 116 145 146 232 290 292 365 580 584 730 1160 1460 2117 2920 4234 8468 9851 10585 16936 19702 21170 39404 42340 49255 78808 84680 98510 197020 285679 394040 571358 719123 1142716 1428395 1438246 2285432 2856790 2876492 3595615 5713580 5752984 7191230 11427160 14382460 20854567 28764920 41709134 83418268 104272835 166836536 208545670 417091340 834182680