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3113282480 = 2457112292207
BaseRepresentation
bin1011100110010000…
…1110101110110000
322000222012010200112
42321210032232300
522334000014410
61232532240452
7140102315210
oct27144165660
98028163615
103113282480
111358404230
1272a770128
133a7cc89a9
14217694240
151334be105
hexb990ebb0

3113282480 has 160 divisors (see below), whose sum is σ = 9067991040. Its totient is φ = 965698560.

The previous prime is 3113282413. The next prime is 3113282483. The reversal of 3113282480 is 842823113.

3113282480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3113282483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1409537 + ... + 1411743.

It is an arithmetic number, because the mean of its divisors is an integer number (56674944).

Almost surely, 23113282480 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 3113282480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533995520).

3113282480 is an abundant number, since it is smaller than the sum of its proper divisors (5954708560).

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

3113282480 is a wasteful number, since it uses less digits than its factorization.

3113282480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 3113282480 is about 55796.7963238034. The cubic root of 3113282480 is about 1460.1792611567.

The spelling of 3113282480 in words is "three billion, one hundred thirteen million, two hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 229 280 308 385 440 458 560 616 770 880 916 1145 1232 1540 1603 1832 2207 2290 2519 3080 3206 3664 4414 4580 5038 6160 6412 8015 8828 9160 10076 11035 12595 12824 15449 16030 17633 17656 18320 20152 22070 24277 25190 25648 30898 32060 35266 35312 40304 44140 48554 50380 61796 64120 70532 77245 88165 88280 97108 100760 121385 123592 128240 141064 154490 169939 176330 176560 194216 201520 242770 247184 282128 308980 339878 352660 388432 485540 505403 617960 679756 705320 849695 971080 1010806 1235920 1359512 1410640 1699390 1942160 2021612 2527015 2719024 3398780 3537821 4043224 5054030 5559433 6797560 7075642 8086448 10108060 11118866 13595120 14151284 17689105 20216120 22237732 27797165 28302568 35378210 38916031 40432240 44475464 55594330 56605136 70756420 77832062 88950928 111188660 141512840 155664124 194580155 222377320 283025680 311328248 389160310 444754640 622656496 778320620 1556641240 3113282480