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2142004340 = 225750930059
BaseRepresentation
bin111111110101100…
…0110010001110100
312112021120002120002
41333223012101310
513341323114330
6552314330432
7104036510420
oct17753062164
95467502502
102142004340
119aa118623
124b9429a18
13281a06ab8
141646a1b80
15c80b2e45
hex7fac6474

2142004340 has 48 divisors (see below), whose sum is σ = 5151081600. Its totient is φ = 732934272.

The previous prime is 2142004331. The next prime is 2142004379. The reversal of 2142004340 is 434002412.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 56231 + ... + 86289.

It is an arithmetic number, because the mean of its divisors is an integer number (107314200).

Almost surely, 22142004340 is an apocalyptic number.

2142004340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142004340 is an abundant number, since it is smaller than the sum of its proper divisors (3009077260).

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

2142004340 is a wasteful number, since it uses less digits than its factorization.

2142004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30584 (or 30582 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2142004340 is about 46281.7927483368. The cubic root of 2142004340 is about 1289.0609394724.

Adding to 2142004340 its reverse (434002412), we get a palindrome (2576006752).

The spelling of 2142004340 in words is "two billion, one hundred forty-two million, four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 509 1018 2036 2545 3563 5090 7126 10180 14252 17815 30059 35630 60118 71260 120236 150295 210413 300590 420826 601180 841652 1052065 2104130 4208260 15300031 30600062 61200124 76500155 107100217 153000310 214200434 306000620 428400868 535501085 1071002170 2142004340