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344681137 = 1741494521
BaseRepresentation
bin10100100010110…
…110101010110001
3220000120121122001
4110202312222301
51201214244022
654111414001
711353512163
oct2442665261
9800517561
10344681137
11167622049
1297524301
1356543248
1433ac4933
15203d7b27
hex148b6ab1

344681137 has 8 divisors (see below), whose sum is σ = 373858632. Its totient is φ = 316492800.

The previous prime is 344681131. The next prime is 344681143. The reversal of 344681137 is 731186443.

It is an interprime number because it is at equal distance from previous prime (344681131) and next prime (344681143).

It can be written as a sum of positive squares in 4 ways, for example, as 30647296 + 314033841 = 5536^2 + 17721^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 344681137 - 219 = 344156849 is a prime.

It is a super-4 number, since 4×3446811374 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344681096 and 344681105.

It is not an unprimeable number, because it can be changed into a prime (344681131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246564 + ... + 247957.

It is an arithmetic number, because the mean of its divisors is an integer number (46732329).

Almost surely, 2344681137 is an apocalyptic number.

It is an amenable number.

344681137 is a deficient number, since it is larger than the sum of its proper divisors (29177495).

344681137 is a wasteful number, since it uses less digits than its factorization.

344681137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494579.

The product of its digits is 48384, while the sum is 37.

The square root of 344681137 is about 18565.5901333623. The cubic root of 344681137 is about 701.1417672676.

The spelling of 344681137 in words is "three hundred forty-four million, six hundred eighty-one thousand, one hundred thirty-seven".

Divisors: 1 17 41 697 494521 8406857 20275361 344681137