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3140298720 = 253651319109
BaseRepresentation
bin1011101100101101…
…0010011111100000
322002212000201000000
42323023102133200
522412404024340
61235335300000
7140551045566
oct27313223740
98085021000
103140298720
1113716869a9
1273781a600
133b0797830
1421b0c7a36
15135a58d30
hexbb2d27e0

3140298720 has 672 divisors, whose sum is σ = 12725143200. Its totient is φ = 725594112.

The previous prime is 3140298719. The next prime is 3140298731. The reversal of 3140298720 is 278920413.

It is a super-2 number, since 2×31402987202 = 19722952101667276800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 28810026 + ... + 28810134.

It is an arithmetic number, because the mean of its divisors is an integer number (18936225).

Almost surely, 23140298720 is an apocalyptic number.

3140298720 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 3140298720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362571600).

3140298720 is an abundant number, since it is smaller than the sum of its proper divisors (9584844480).

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

3140298720 is a wasteful number, since it uses less digits than its factorization.

3140298720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3140298720 is about 56038.3682845959. The cubic root of 3140298720 is about 1464.3907852243.

The spelling of 3140298720 in words is "three billion, one hundred forty million, two hundred ninety-eight thousand, seven hundred twenty".