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339406929 = 34232892
BaseRepresentation
bin10100001110101…
…111000001010001
3212122122122210000
4110032233001101
51143342010204
653402400213
711260624401
oct2416570121
9778578700
10339406929
1116464a4a4
1295800069
1355417704
1433110801
151ebe5039
hex143af051

339406929 has 45 divisors (see below), whose sum is σ = 536040043. Its totient is φ = 214001568.

The previous prime is 339406927. The next prime is 339406931. The reversal of 339406929 is 929604933.

The square root of 339406929 is 18423.

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

It is an interprime number because it is at equal distance from previous prime (339406927) and next prime (339406931).

It can be written as a sum of positive squares in only one way, i.e., 65173329 + 274233600 = 8073^2 + 16560^2 .

It is not a de Polignac number, because 339406929 - 21 = 339406927 is a prime.

It is a super-2 number, since 2×3394069292 = 230394126906422082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (339406927) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 3813517 + ... + 3813605.

Almost surely, 2339406929 is an apocalyptic number.

339406929 is the 18423-rd square number.

339406929 is the 9212-nd centered octagonal number.

It is an amenable number.

339406929 is a deficient number, since it is larger than the sum of its proper divisors (196633114).

339406929 is an frugal number, since it uses more digits than its factorization.

339406929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The cubic root of 339406929 is about 697.5471490847.

The spelling of 339406929 in words is "three hundred thirty-nine million, four hundred six thousand, nine hundred twenty-nine".

Divisors: 1 3 9 23 27 69 81 89 207 267 529 621 801 1587 1863 2047 2403 4761 6141 7209 7921 14283 18423 23763 42849 47081 55269 71289 141243 165807 182183 213867 423729 546549 641601 1271187 1639647 3813561 4190209 4918941 12570627 14756823 37711881 113135643 339406929