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3437828689 = 17234492
BaseRepresentation
bin1100110011101001…
…0001101001010001
322212120212210101111
43030322101221101
524020041004224
61325044333321
7151123030111
oct31472215121
98776783344
103437828689
111504623639
127bb3a4241
1342a30c279
14248817041
15151c2ad94
hexcce91a51

3437828689 has 9 divisors (see below), whose sum is σ = 3653008657. Its totient is φ = 3234665344.

The previous prime is 3437828671. The next prime is 3437828747. The reversal of 3437828689 is 9868287343.

The square root of 3437828689 is 58633.

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

It can be written as a sum of positive squares in 4 ways, for example, as 565726225 + 2872102464 = 23785^2 + 53592^2 .

It is a de Polignac number, because none of the positive numbers 2k-3437828689 is a prime.

It is a super-2 number, since 2×34378286892 = 23637332189822917442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3437888689) 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, 995037 + ... + 998485.

Almost surely, 23437828689 is an apocalyptic number.

3437828689 is the 58633-rd square number.

3437828689 is the 29317-th centered octagonal number.

It is an amenable number.

3437828689 is a deficient number, since it is larger than the sum of its proper divisors (215179968).

3437828689 is an frugal number, since it uses more digits than its factorization.

3437828689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932 (or 3466 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 58.

The cubic root of 3437828689 is about 1509.2507852914.

The spelling of 3437828689 in words is "three billion, four hundred thirty-seven million, eight hundred twenty-eight thousand, six hundred eighty-nine".

Divisors: 1 17 289 3449 58633 996761 11895601 202225217 3437828689