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2354435140 = 225117721757
BaseRepresentation
bin1000110001010101…
…1101010001000100
320002002021200211111
42030111131101010
514310213411030
61025343414404
7112226240251
oct21425352104
96062250744
102354435140
11aa9020a72
125585b4404
132b6a241b5
1418499c428
15dba7562a
hex8c55d444

2354435140 has 12 divisors (see below), whose sum is σ = 4944313836. Its totient is φ = 941774048.

The previous prime is 2354435131. The next prime is 2354435177. The reversal of 2354435140 is 415344532.

It can be written as a sum of positive squares in 2 ways, for example, as 490268164 + 1864166976 = 22142^2 + 43176^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 58860859 + ... + 58860898.

It is an arithmetic number, because the mean of its divisors is an integer number (412026153).

Almost surely, 22354435140 is an apocalyptic number.

2354435140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2354435140 is an abundant number, since it is smaller than the sum of its proper divisors (2589878696).

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

2354435140 is a wasteful number, since it uses less digits than its factorization.

2354435140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117721766 (or 117721764 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 2354435140 is about 48522.5219872174. The cubic root of 2354435140 is about 1330.3387570587.

Adding to 2354435140 its reverse (415344532), we get a palindrome (2769779672).

The spelling of 2354435140 in words is "two billion, three hundred fifty-four million, four hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 117721757 235443514 470887028 588608785 1177217570 2354435140