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834668874 = 234132511579
BaseRepresentation
bin110001110000000…
…000100101001010
32011011120120110000
4301300000211022
53202133400444
6214453503430
726453365644
oct6160004512
92134516400
10834668874
11399170096
121b3641b76
13103c01010
147cbd1894
154d424469
hex31c0094a

834668874 has 80 divisors (see below), whose sum is σ = 2023449120. Its totient is φ = 255636000.

The previous prime is 834668867. The next prime is 834668881. The reversal of 834668874 is 478866438.

It is an interprime number because it is at equal distance from previous prime (834668867) and next prime (834668881).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 834668874.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 527817 + ... + 529395.

It is an arithmetic number, because the mean of its divisors is an integer number (25293114).

Almost surely, 2834668874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834668874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011724560).

834668874 is an abundant number, since it is smaller than the sum of its proper divisors (1188780246).

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

834668874 is a wasteful number, since it uses less digits than its factorization.

834668874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1848 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 834668874 is about 28890.6364415878. The cubic root of 834668874 is about 941.5384773146.

The spelling of 834668874 in words is "eight hundred thirty-four million, six hundred sixty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 251 351 502 702 753 1053 1506 1579 2106 2259 3158 3263 4518 4737 6526 6777 9474 9789 13554 14211 19578 20331 20527 28422 29367 40662 41054 42633 58734 61581 85266 88101 123162 127899 176202 184743 255798 264303 369486 396329 528606 554229 792658 1108458 1188987 1662687 2377974 3325374 3566961 5152277 7133922 10304554 10700883 15456831 21401766 30913662 32102649 46370493 64205298 92740986 139111479 278222958 417334437 834668874