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834117804 = 2233131793319
BaseRepresentation
bin110001101101111…
…010000010101100
32011010112120112000
4301231322002230
53202013232204
6214434012300
726445612222
oct6155720254
92133476460
10834117804
11398924063
121b3417090
13103a6a240
147cacab12
154d366039
hex31b7a0ac

834117804 has 96 divisors (see below), whose sum is σ = 2342592000. Its totient is φ = 255140928.

The previous prime is 834117743. The next prime is 834117811. The reversal of 834117804 is 408711438.

834117804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 249657 + ... + 252975.

It is an arithmetic number, because the mean of its divisors is an integer number (24402000).

Almost surely, 2834117804 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 834117804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171296000).

834117804 is an abundant number, since it is smaller than the sum of its proper divisors (1508474196).

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

834117804 is a wasteful number, since it uses less digits than its factorization.

834117804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 834117804 is about 28881.0976938204. The cubic root of 834117804 is about 941.3312223365.

The spelling of 834117804 in words is "eight hundred thirty-four million, one hundred seventeen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 179 234 351 358 468 537 702 716 1074 1404 1611 2148 2327 3222 3319 4654 4833 6444 6638 6981 9308 9666 9957 13276 13962 19332 19914 20943 27924 29871 39828 41886 43147 59742 62829 83772 86294 89613 119484 125658 129441 172588 179226 251316 258882 358452 388323 517764 594101 776646 1164969 1188202 1553292 1782303 2329938 2376404 3564606 4659876 5346909 7129212 7723313 10693818 15446626 16040727 21387636 23169939 30893252 32081454 46339878 64162908 69509817 92679756 139019634 208529451 278039268 417058902 834117804