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3140035320 = 2335172953077
BaseRepresentation
bin1011101100101001…
…0010001011111000
322002211112022200110
42323022102023320
522412322112240
61235325504320
7140545600632
oct27312221370
98084468613
103140035320
111371517014
127377120a0
133b0704986
1421b059a52
15135a05c80
hexbb2922f8

3140035320 has 128 divisors (see below), whose sum is σ = 10318363200. Its totient is φ = 760897536.

The previous prime is 3140035319. The next prime is 3140035331. The reversal of 3140035320 is 235300413.

3140035320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32622 + ... + 85698.

Almost surely, 23140035320 is an apocalyptic number.

3140035320 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 3140035320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159181600).

3140035320 is an abundant number, since it is smaller than the sum of its proper divisors (7178327880).

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

3140035320 is a wasteful number, since it uses less digits than its factorization.

3140035320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53137 (or 53133 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3140035320 is about 56036.0180598158. The cubic root of 3140035320 is about 1464.3498409966.

Adding to 3140035320 its reverse (235300413), we get a palindrome (3375335733).

The spelling of 3140035320 in words is "three billion, one hundred forty million, thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 116 120 136 145 170 174 204 232 255 290 340 348 408 435 493 510 580 680 696 870 986 1020 1160 1479 1740 1972 2040 2465 2958 3480 3944 4930 5916 7395 9860 11832 14790 19720 29580 53077 59160 106154 159231 212308 265385 318462 424616 530770 636924 796155 902309 1061540 1273848 1539233 1592310 1804618 2123080 2706927 3078466 3184620 3609236 4511545 4617699 5413854 6156932 6369240 7218472 7696165 9023090 9235398 10827708 12313864 13534635 15392330 18046180 18470796 21655416 23088495 26166961 27069270 30784660 36092360 36941592 46176990 52333922 54138540 61569320 78500883 92353980 104667844 108277080 130834805 157001766 184707960 209335688 261669610 314003532 392504415 523339220 628007064 785008830 1046678440 1570017660 3140035320