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2340294120 = 23365174721
BaseRepresentation
bin1000101101111110…
…0000110111101000
320001002200021000000
42023133200313220
514243103402440
61024120343000
7111665112633
oct21337406750
96032607000
102340294120
11aa104267a
12553914a60
132b3b12828
14182b5ac1a
15da6d0730
hex8b7e0de8

2340294120 has 224 divisors, whose sum is σ = 8361056520. Its totient is φ = 587243520.

The previous prime is 2340294107. The next prime is 2340294149. The reversal of 2340294120 is 214920432.

It can be written as a sum of positive squares in 4 ways, for example, as 2141653284 + 198640836 = 46278^2 + 14094^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 493360 + ... + 498080.

Almost surely, 22340294120 is an apocalyptic number.

2340294120 is a gapful number since it is divisible by the number (20) 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 2340294120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180528260).

2340294120 is an abundant number, since it is smaller than the sum of its proper divisors (6020762400).

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

2340294120 is a wasteful number, since it uses less digits than its factorization.

2340294120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2340294120 is about 48376.5864856131. The cubic root of 2340294120 is about 1327.6700155704.

The spelling of 2340294120 in words is "two billion, three hundred forty million, two hundred ninety-four thousand, one hundred twenty".