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3145043320 = 235532336367
BaseRepresentation
bin1011101101110101…
…1000110101111000
322010011221202100221
42323131120311320
522420112341240
61240025105424
7140636266336
oct27335306570
98104852327
103145043320
111374327661
12739328274
133b17692a3
1421b9a0b56
15136194a4a
hexbb758d78

3145043320 has 64 divisors (see below), whose sum is σ = 7241944320. Its totient is φ = 1228790784.

The previous prime is 3145043309. The next prime is 3145043357. The reversal of 3145043320 is 233405413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490777 + ... + 497143.

It is an arithmetic number, because the mean of its divisors is an integer number (113155380).

Almost surely, 23145043320 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 3145043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620972160).

3145043320 is an abundant number, since it is smaller than the sum of its proper divisors (4096901000).

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

3145043320 is a wasteful number, since it uses less digits than its factorization.

3145043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3145043320 is about 56080.6858017981. The cubic root of 3145043320 is about 1465.1279181015.

Adding to 3145043320 its reverse (233405413), we get a palindrome (3378448733).

The spelling of 3145043320 in words is "three billion, one hundred forty-five million, forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 233 265 424 466 530 932 1060 1165 1864 2120 2330 4660 6367 9320 12349 12734 24698 25468 31835 49396 50936 61745 63670 98792 123490 127340 246980 254680 337451 493960 674902 1349804 1483511 1687255 2699608 2967022 3374510 5934044 6749020 7417555 11868088 13498040 14835110 29670220 59340440 78626083 157252166 314504332 393130415 629008664 786260830 1572521660 3145043320