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2340920736 = 253471137317
BaseRepresentation
bin1000101110000111…
…1001110110100000
320001010212002120000
42023201321312200
514243233430421
61024142020000
7112003332540
oct21341716640
96033762500
102340920736
11aa1430440
12553b77600
132b3ca1acb
14182c81320
15da7a6226
hex8b879da0

2340920736 has 480 divisors, whose sum is σ = 8843167872. Its totient is φ = 589731840.

The previous prime is 2340920719. The next prime is 2340920753. The reversal of 2340920736 is 6370290432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2340920719) and next prime (2340920753).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2340920736.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7384450 + ... + 7384766.

Almost surely, 22340920736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340920736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421583936).

2340920736 is an abundant number, since it is smaller than the sum of its proper divisors (6502247136).

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

2340920736 is a wasteful number, since it uses less digits than its factorization.

2340920736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2340920736 is about 48383.0624909172. The cubic root of 2340920736 is about 1327.7884999705.

It can be divided in two parts, 23409 and 20736, that multiplied together give a square (485409024 = 220322).

The spelling of 2340920736 in words is "two billion, three hundred forty million, nine hundred twenty thousand, seven hundred thirty-six".