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3080829120 = 263510633019
BaseRepresentation
bin1011011110100001…
…1011100011000000
321221201010100001020
42313220123203000
522302143012440
61225412505440
7136226421045
oct26750334300
97851110036
103080829120
111341058576
1271b91b280
133a1375115
142132471cc
1513070d3d0
hexb7a1b8c0

3080829120 has 112 divisors (see below), whose sum is σ = 9794077440. Its totient is φ = 820509696.

The previous prime is 3080829079. The next prime is 3080829151. The reversal of 3080829120 is 219280803.

It is a super-3 number, since 3×30808291203 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1018971 + ... + 1021989.

It is an arithmetic number, because the mean of its divisors is an integer number (87447120).

Almost surely, 23080829120 is an apocalyptic number.

3080829120 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 3080829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897038720).

3080829120 is an abundant number, since it is smaller than the sum of its proper divisors (6713248320).

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

3080829120 is a wasteful number, since it uses less digits than its factorization.

3080829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 3080829120 is about 55505.2170520934. The cubic root of 3080829120 is about 1455.0878136913.

The spelling of 3080829120 in words is "three billion, eighty million, eight hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1063 2126 3019 3189 4252 5315 6038 6378 8504 9057 10630 12076 12756 15095 15945 17008 18114 21260 24152 25512 30190 31890 34016 36228 42520 45285 48304 51024 60380 63780 68032 72456 85040 90570 96608 102048 120760 127560 144912 170080 181140 193216 204096 241520 255120 289824 340160 362280 483040 510240 579648 724560 966080 1020480 1449120 2898240 3209197 6418394 9627591 12836788 16045985 19255182 25673576 32091970 38510364 48137955 51347152 64183940 77020728 96275910 102694304 128367880 154041456 192551820 205388608 256735760 308082912 385103640 513471520 616165824 770207280 1026943040 1540414560 3080829120