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2313735440 = 24528921693
BaseRepresentation
bin1000100111101000…
…1100110100010000
312222020200221100012
42021322030310100
514214304013230
61021331214052
7111223266242
oct21172146420
95866627305
102313735440
11a88052755
12546a47328
132ab474033
1417d406092
15d81d6395
hex89e8cd10

2313735440 has 20 divisors (see below), whose sum is σ = 5379435084. Its totient is φ = 925494144.

The previous prime is 2313735421. The next prime is 2313735461. The reversal of 2313735440 is 445373132.

It can be written as a sum of positive squares in 2 ways, for example, as 1110755584 + 1202979856 = 33328^2 + 34684^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2313735397 and 2313735406.

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, 14460767 + ... + 14460926.

Almost surely, 22313735440 is an apocalyptic number.

2313735440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313735440 is an abundant number, since it is smaller than the sum of its proper divisors (3065699644).

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

2313735440 is a wasteful number, since it uses less digits than its factorization.

2313735440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28921706 (or 28921700 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 2313735440 is about 48101.3039324299. The cubic root of 2313735440 is about 1322.6285699216.

The spelling of 2313735440 in words is "two billion, three hundred thirteen million, seven hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28921693 57843386 115686772 144608465 231373544 289216930 462747088 578433860 1156867720 2313735440