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3142296180 = 22365215521
BaseRepresentation
bin1011101101001011…
…1010001001110100
322002222210012000000
42323102322021310
522413411434210
61235450151300
7140604035232
oct27322721164
98088705000
103142296180
1113728206a1
12738422530
133b1016a6a
1421b487952
15135d00ac0
hexbb4ba274

3142296180 has 84 divisors (see below), whose sum is σ = 9893752932. Its totient is φ = 837941760.

The previous prime is 3142296173. The next prime is 3142296187. The reversal of 3142296180 is 816922413.

3142296180 is a `hidden beast` number, since 3 + 14 + 2 + 29 + 618 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3142296173) and next prime (3142296187).

It can be written as a sum of positive squares in 2 ways, for example, as 2430687204 + 711608976 = 49302^2 + 26676^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142296187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 93181 + ... + 122340.

It is an arithmetic number, because the mean of its divisors is an integer number (117782773).

Almost surely, 23142296180 is an apocalyptic number.

3142296180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142296180 is an abundant number, since it is smaller than the sum of its proper divisors (6751456752).

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

3142296180 is a wasteful number, since it uses less digits than its factorization.

3142296180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215548 (or 215531 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3142296180 is about 56056.1877048377. The cubic root of 3142296180 is about 1464.7012060169.

The spelling of 3142296180 in words is "three billion, one hundred forty-two million, two hundred ninety-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 215521 431042 646563 862084 1077605 1293126 1939689 2155210 2586252 3232815 3879378 4310420 5819067 6465630 7758756 9698445 11638134 12931260 17457201 19396890 23276268 29095335 34914402 38793780 52371603 58190670 69828804 87286005 104743206 116381340 157114809 174572010 209486412 261858015 314229618 349144020 523716030 628459236 785574045 1047432060 1571148090 3142296180