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2340992640 = 273572149167
BaseRepresentation
bin1000101110001000…
…1011011010000000
320001010222202012010
42023202023122000
514243243231030
61024143332520
7112004052300
oct21342133200
96033882163
102340992640
11aa147a468
12553bb1140
132b3cc875c
14182c9d600
15da7bc6b0
hex8b88b680

2340992640 has 384 divisors, whose sum is σ = 8790768000. Its totient is φ = 528310272.

The previous prime is 2340992629. The next prime is 2340992653. The reversal of 2340992640 is 462990432.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14017837 + ... + 14018003.

It is an arithmetic number, because the mean of its divisors is an integer number (22892625).

Almost surely, 22340992640 is an apocalyptic number.

2340992640 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 2340992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395384000).

2340992640 is an abundant number, since it is smaller than the sum of its proper divisors (6449775360).

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

2340992640 is a wasteful number, since it uses less digits than its factorization.

2340992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2340992640 is about 48383.8055551648. The cubic root of 2340992640 is about 1327.8020946679.

The spelling of 2340992640 in words is "two billion, three hundred forty million, nine hundred ninety-two thousand, six hundred forty".