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309429 = 3234381
BaseRepresentation
bin1001011100010110101
3120201110100
41023202311
534400204
610344313
72426061
oct1134265
9521410
10309429
111a152a
1212b099
13aaac3
1480aa1
1561a39
hex4b8b5

309429 has 6 divisors (see below), whose sum is σ = 446966. Its totient is φ = 206280.

The previous prime is 309403. The next prime is 309433. The reversal of 309429 is 924903.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 106929 = 450^2 + 327^2 .

It is not a de Polignac number, because 309429 - 28 = 309173 is a prime.

It is a Duffinian number.

It is a Curzon number.

309429 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309429.

It is not an unprimeable number, because it can be changed into a prime (309469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17182 + ... + 17199.

2309429 is an apocalyptic number.

It is an amenable number.

309429 is a deficient number, since it is larger than the sum of its proper divisors (137537).

309429 is a wasteful number, since it uses less digits than its factorization.

309429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34387 (or 34384 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 309429 is about 556.2634268042. The cubic root of 309429 is about 67.6374155348.

The spelling of 309429 in words is "three hundred nine thousand, four hundred twenty-nine".

Divisors: 1 3 9 34381 103143 309429