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3145713320 = 2351710974217
BaseRepresentation
bin1011101101111111…
…1100011010101000
322010020012210102202
42323133330122220
522420300311240
61240051315332
7140645056601
oct27337743250
98106183382
103145713320
111374744a82
127395abb48
133b1942239
1421bad6da8
15136278315
hexbb7fc6a8

3145713320 has 64 divisors (see below), whose sum is σ = 7502809680. Its totient is φ = 1182908416.

The previous prime is 3145713287. The next prime is 3145713383. The reversal of 3145713320 is 233175413.

It can be written as a sum of positive squares in 8 ways, for example, as 2149805956 + 995907364 = 46366^2 + 31558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743852 + ... + 748068.

Almost surely, 23145713320 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 3145713320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751404840).

3145713320 is an abundant number, since it is smaller than the sum of its proper divisors (4357096360).

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

3145713320 is a wasteful number, since it uses less digits than its factorization.

3145713320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 3145713320 is about 56086.6590197705. The cubic root of 3145713320 is about 1465.2319512214.

Adding to 3145713320 its reverse (233175413), we get a palindrome (3378888733).

The spelling of 3145713320 in words is "three billion, one hundred forty-five million, seven hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1097 2194 4217 4388 5485 8434 8776 10970 16868 18649 21085 21940 33736 37298 42170 43880 71689 74596 84340 93245 143378 149192 168680 186490 286756 358445 372980 573512 716890 745960 1433780 2867560 4626049 9252098 18504196 23130245 37008392 46260490 78642833 92520980 157285666 185041960 314571332 393214165 629142664 786428330 1572856660 3145713320