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3113140320 = 253252161903
BaseRepresentation
bin1011100110001110…
…1100000001100000
322000221220220200100
42321203230001200
522333430442240
61232525222400
7140101153563
oct27143540140
98027826610
103113140320
111358317444
1272a701a00
133a7c79084
142176584da
15133491e30
hexb98ec060

3113140320 has 72 divisors (see below), whose sum is σ = 10623596256. Its totient is φ = 830170368.

The previous prime is 3113140313. The next prime is 3113140391. The reversal of 3113140320 is 230413113.

3113140320 is a `hidden beast` number, since 31 + 1 + 314 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3113140293 and 3113140302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1079512 + ... + 1082391.

It is an arithmetic number, because the mean of its divisors is an integer number (147549948).

Almost surely, 23113140320 is an apocalyptic number.

3113140320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113140320 is an abundant number, since it is smaller than the sum of its proper divisors (7510455936).

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

3113140320 is a wasteful number, since it uses less digits than its factorization.

3113140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161924 (or 2161913 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3113140320 is about 55795.5224009956. The cubic root of 3113140320 is about 1460.1570357141.

Adding to 3113140320 its reverse (230413113), we get a palindrome (3343553433).

The spelling of 3113140320 in words is "three billion, one hundred thirteen million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2161903 4323806 6485709 8647612 10809515 12971418 17295224 19457127 21619030 25942836 32428545 34590448 38914254 43238060 51885672 64857090 69180896 77828508 86476120 97285635 103771344 129714180 155657016 172952240 194571270 207542688 259428360 311314032 345904480 389142540 518856720 622628064 778285080 1037713440 1556570160 3113140320