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3113945400 = 2335229317713
BaseRepresentation
bin1011100110011011…
…0000100100111000
322001000102211001010
42321212300210320
522334132223100
61232554353520
7140111046006
oct27146604470
98030384033
103113945400
1113588172a5
1272aa2b8a0
133a819b657
142177c7a76
151335a0750
hexb99b0938

3113945400 has 96 divisors (see below), whose sum is σ = 9686723760. Its totient is φ = 827504640.

The previous prime is 3113945377. The next prime is 3113945423. The reversal of 3113945400 is 45493113.

It is an interprime number because it is at equal distance from previous prime (3113945377) and next prime (3113945423).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 166944 + ... + 184656.

Almost surely, 23113945400 is an apocalyptic number.

3113945400 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 3113945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843361880).

3113945400 is an abundant number, since it is smaller than the sum of its proper divisors (6572778360).

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

3113945400 is a wasteful number, since it uses less digits than its factorization.

3113945400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18025 (or 18016 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3113945400 is about 55802.7364920395. The cubic root of 3113945400 is about 1460.2828938279.

The spelling of 3113945400 in words is "three billion, one hundred thirteen million, nine hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 293 300 586 600 879 1172 1465 1758 2344 2930 3516 4395 5860 7032 7325 8790 11720 14650 17580 17713 21975 29300 35160 35426 43950 53139 58600 70852 87900 88565 106278 141704 175800 177130 212556 265695 354260 425112 442825 531390 708520 885650 1062780 1328475 1771300 2125560 2656950 3542600 5189909 5313900 10379818 10627800 15569727 20759636 25949545 31139454 41519272 51899090 62278908 77848635 103798180 124557816 129747725 155697270 207596360 259495450 311394540 389243175 518990900 622789080 778486350 1037981800 1556972700 3113945400