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2343721140 = 2232513020673
BaseRepresentation
bin1000101110110010…
…0101100010110100
320001100010100222200
42023230211202310
514244443034030
61024322024500
7112036205145
oct21354454264
96040110880
102343721140
11aa2a73422
12554aa8130
132b4742657
141833adacc
15dab5ad60
hex8bb258b4

2343721140 has 36 divisors (see below), whose sum is σ = 7109288004. Its totient is φ = 624992256.

The previous prime is 2343721139. The next prime is 2343721141. The reversal of 2343721140 is 411273432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2343721139) and next prime (2343721141).

It can be written as a sum of positive squares in 2 ways, for example, as 562543524 + 1781177616 = 23718^2 + 42204^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343721141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6510157 + ... + 6510516.

Almost surely, 22343721140 is an apocalyptic number.

2343721140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2343721140 is an abundant number, since it is smaller than the sum of its proper divisors (4765566864).

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

2343721140 is a wasteful number, since it uses less digits than its factorization.

2343721140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13020688 (or 13020683 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2343721140 is about 48411.9937618768. The cubic root of 2343721140 is about 1328.3177593090.

Adding to 2343721140 its reverse (411273432), we get a palindrome (2754994572).

The spelling of 2343721140 in words is "two billion, three hundred forty-three million, seven hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13020673 26041346 39062019 52082692 65103365 78124038 117186057 130206730 156248076 195310095 234372114 260413460 390620190 468744228 585930285 781240380 1171860570 2343721140