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2340391872 = 2637132931149
BaseRepresentation
bin1000101101111111…
…1000101111000000
320001002212020002110
42023133320233000
514243120014442
61024122415320
7111666000630
oct21337705700
96032766073
102340391872
11aa10aa065
12553961540
132b3b48180
14182b846c0
15da6ee69c
hex8b7f8bc0

2340391872 has 448 divisors, whose sum is σ = 8193024000. Its totient is φ = 572866560.

The previous prime is 2340391849. The next prime is 2340391877. The reversal of 2340391872 is 2781930432.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×23403918722 = 10954868229047328768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2340391872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340391877) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15707254 + ... + 15707402.

It is an arithmetic number, because the mean of its divisors is an integer number (18288000).

Almost surely, 22340391872 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 2340391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512000).

2340391872 is an abundant number, since it is smaller than the sum of its proper divisors (5852632128).

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

2340391872 is a wasteful number, since it uses less digits than its factorization.

2340391872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2340391872 is about 48377.5967985182. The cubic root of 2340391872 is about 1327.6885005109.

The spelling of 2340391872 in words is "two billion, three hundred forty million, three hundred ninety-one thousand, eight hundred seventy-two".