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429348685 = 51715732173
BaseRepresentation
bin11001100101110…
…101011101001101
31002220220011200011
4121211311131031
51334403124220
6110334233221
713432255303
oct3145653515
91086804604
10429348685
112003a1027
12bb955811
136ac48c9c
1441044273
1527a5e65a
hex1997574d

429348685 has 16 divisors (see below), whose sum is σ = 549017136. Its totient is φ = 321205248.

The previous prime is 429348649. The next prime is 429348721. The reversal of 429348685 is 586843924.

It is an interprime number because it is at equal distance from previous prime (429348649) and next prime (429348721).

It can be written as a sum of positive squares in 8 ways, for example, as 2802276 + 426546409 = 1674^2 + 20653^2 .

It is a cyclic number.

It is not a de Polignac number, because 429348685 - 213 = 429340493 is a prime.

It is a super-2 number, since 2×4293486852 = 368680586622458450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2742 + ... + 29431.

It is an arithmetic number, because the mean of its divisors is an integer number (34313571).

Almost surely, 2429348685 is an apocalyptic number.

It is an amenable number.

429348685 is a deficient number, since it is larger than the sum of its proper divisors (119668451).

429348685 is a wasteful number, since it uses less digits than its factorization.

429348685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32352.

The product of its digits is 1658880, while the sum is 49.

The square root of 429348685 is about 20720.7308027492. The cubic root of 429348685 is about 754.4029518098.

The spelling of 429348685 in words is "four hundred twenty-nine million, three hundred forty-eight thousand, six hundred eighty-five".

Divisors: 1 5 17 85 157 785 2669 13345 32173 160865 546941 2734705 5051161 25255805 85869737 429348685