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3145706040 = 2335178914653
BaseRepresentation
bin1011101101111111…
…1010101000111000
322010020012102110010
42323133322220320
522420300043130
61240051221520
7140645026431
oct27337725070
98106172403
103145706040
11137473a564
127395a78a0
133b193bb29
1421bad4488
151362760b0
hexbb7faa38

3145706040 has 64 divisors (see below), whose sum is σ = 9443037600. Its totient is φ = 838328832.

The previous prime is 3145706033. The next prime is 3145706087. The reversal of 3145706040 is 406075413.

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

It is a junction number, because it is equal to n+sod(n) for n = 3145705989 and 3145706007.

It is a congruent number.

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, 207354 + ... + 222006.

Almost surely, 23145706040 is an apocalyptic number.

3145706040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145706040 is an abundant number, since it is smaller than the sum of its proper divisors (6297331560).

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

3145706040 is a wasteful number, since it uses less digits than its factorization.

3145706040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16456 (or 16452 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3145706040 is about 56086.5941201639. The cubic root of 3145706040 is about 1465.2308209111.

The spelling of 3145706040 in words is "three billion, one hundred forty-five million, seven hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1789 3578 5367 7156 8945 10734 14312 14653 17890 21468 26835 29306 35780 42936 43959 53670 58612 71560 73265 87918 107340 117224 146530 175836 214680 219795 293060 351672 439590 586120 879180 1758360 26214217 52428434 78642651 104856868 131071085 157285302 209713736 262142170 314570604 393213255 524284340 629141208 786426510 1048568680 1572853020 3145706040