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2379342768 = 243114506331
BaseRepresentation
bin1000110111010001…
…1110001110110000
320010211011010200020
42031310132032300
514333102432033
61032033323440
7112651036245
oct21564361660
96124133606
102379342768
111011093490
12564a06580
132bbc3533a
141880035cc
15ddd456b3
hex8dd1e3b0

2379342768 has 40 divisors (see below), whose sum is σ = 6705422016. Its totient is φ = 721012800.

The previous prime is 2379342767. The next prime is 2379342769. The reversal of 2379342768 is 8672439732.

2379342768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2379342767) and next prime (2379342769).

It is a super-2 number, since 2×23793427682 = 11322544015267803648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2379342768.

It is not an unprimeable number, because it can be changed into a prime (2379342761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2252638 + ... + 2253693.

Almost surely, 22379342768 is an apocalyptic number.

It is an amenable number.

2379342768 is an abundant number, since it is smaller than the sum of its proper divisors (4326079248).

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

2379342768 is a wasteful number, since it uses less digits than its factorization.

2379342768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506353 (or 4506347 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The square root of 2379342768 is about 48778.5072342318. The cubic root of 2379342768 is about 1335.0135396795.

The spelling of 2379342768 in words is "two billion, three hundred seventy-nine million, three hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4506331 9012662 13518993 18025324 27037986 36050648 49569641 54075972 72101296 99139282 108151944 148708923 198278564 216303888 297417846 396557128 594835692 793114256 1189671384 2379342768