Search a number
-
+
34702846369 = 107217412
BaseRepresentation
bin100000010100011100…
…110110100110100001
310022120111112020210021
4200110130312212201
51032032412040434
623535310233441
72335653220132
oct402434664641
9108514466707
1034702846369
1113798941124
126885ab5881
1333707b1629
141972c77c89
15d81934cb4
hex8147369a1

34702846369 has 9 divisors (see below), whose sum is σ = 35050335411. Its totient is φ = 34358774280.

The previous prime is 34702846337. The next prime is 34702846403. The reversal of 34702846369 is 96364820743.

It is a happy number.

The square root of 34702846369 is 186287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39853969 + 34662992400 = 6313^2 + 186180^2 .

It is not a de Polignac number, because 34702846369 - 25 = 34702846337 is a prime.

It is a super-2 number, since 2×347028463692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34702846469) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19931839 + ... + 19933579.

Almost surely, 234702846369 is an apocalyptic number.

34702846369 is the 186287-th square number.

34702846369 is the 93144-th centered octagonal number.

It is an amenable number.

34702846369 is a deficient number, since it is larger than the sum of its proper divisors (347489042).

34702846369 is an frugal number, since it uses more digits than its factorization.

34702846369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 34702846369 in words is "thirty-four billion, seven hundred two million, eight hundred forty-six thousand, three hundred sixty-nine".

Divisors: 1 107 1741 11449 186287 3031081 19932709 324325667 34702846369