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834853680 = 243251768207
BaseRepresentation
bin110001110000101…
…101101100110000
32011011220221221200
4301300231230300
53202210304210
6214501451200
726455065513
oct6160555460
92134827850
10834853680
11399286a21
121b3710b00
13103c6717b
147cc3cd7a
154d45e0c0
hex31c2db30

834853680 has 120 divisors (see below), whose sum is σ = 2968684992. Its totient is φ = 209528832.

The previous prime is 834853637. The next prime is 834853693. The reversal of 834853680 is 86358438.

834853680 is a `hidden beast` number, since 8 + 34 + 8 + 536 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 21864 + ... + 46343.

Almost surely, 2834853680 is an apocalyptic number.

834853680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

834853680 is an abundant number, since it is smaller than the sum of its proper divisors (2133831312).

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

834853680 is a wasteful number, since it uses less digits than its factorization.

834853680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68243 (or 68234 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 834853680 is about 28893.8346364757. The cubic root of 834853680 is about 941.6079616034.

The spelling of 834853680 in words is "eight hundred thirty-four million, eight hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 68207 136414 204621 272828 341035 409242 545656 613863 682070 818484 1023105 1091312 1159519 1227726 1364140 1636968 2046210 2319038 2455452 2728280 3069315 3273936 3478557 4092420 4638076 4910904 5456560 5797595 6138630 6957114 8184840 9276152 9821808 10435671 11595190 12277260 13914228 16369680 17392785 18552304 20871342 23190380 24554520 27828456 34785570 41742684 46380760 49109040 52178355 55656912 69571140 83485368 92761520 104356710 139142280 166970736 208713420 278284560 417426840 834853680