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2339125380 = 2232512995141
BaseRepresentation
bin1000101101101100…
…0011100010000100
320001000110212210100
42023123003202010
514242304003010
61024035324100
7111652144344
oct21333034204
96030425710
102339125380
11aa0414579
12553450630
132b37c3877
14182934d24
15da54e2c0
hex8b6c3884

2339125380 has 36 divisors (see below), whose sum is σ = 7095347532. Its totient is φ = 623766720.

The previous prime is 2339125363. The next prime is 2339125381. The reversal of 2339125380 is 835219332.

2339125380 is a `hidden beast` number, since 2 + 33 + 91 + 2 + 538 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 795578436 + 1543546944 = 28206^2 + 39288^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (2339125381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6497391 + ... + 6497750.

It is an arithmetic number, because the mean of its divisors is an integer number (197092987).

Almost surely, 22339125380 is an apocalyptic number.

2339125380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2339125380 is an abundant number, since it is smaller than the sum of its proper divisors (4756222152).

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

2339125380 is a wasteful number, since it uses less digits than its factorization.

2339125380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12995156 (or 12995151 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2339125380 is about 48364.5053732590. The cubic root of 2339125380 is about 1327.4489665125.

The spelling of 2339125380 in words is "two billion, three hundred thirty-nine million, one hundred twenty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12995141 25990282 38985423 51980564 64975705 77970846 116956269 129951410 155941692 194927115 233912538 259902820 389854230 467825076 584781345 779708460 1169562690 2339125380