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429314441 = 371992293
BaseRepresentation
bin11001100101101…
…101000110001001
31002220211102200212
4121211231012021
51334401030231
6110333410505
713432053413
oct3145550611
91086742625
10429314441
11200378326
12bb939a35
136ac3651a
14410359b3
1527a5442b
hex1996d189

429314441 has 12 divisors (see below), whose sum is σ = 444656772. Its totient is φ = 414193824.

The previous prime is 429314423. The next prime is 429314449. The reversal of 429314441 is 144413924.

It can be written as a sum of positive squares in 2 ways, for example, as 396010000 + 33304441 = 19900^2 + 5771^2 .

It is a de Polignac number, because none of the positive numbers 2k-429314441 is a prime.

It is a super-2 number, since 2×4293144412 = 368621778502284962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 429314398 and 429314407.

It is not an unprimeable number, because it can be changed into a prime (429314449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465091 + ... + 1465383.

It is an arithmetic number, because the mean of its divisors is an integer number (37054731).

Almost surely, 2429314441 is an apocalyptic number.

It is an amenable number.

429314441 is a deficient number, since it is larger than the sum of its proper divisors (15342331).

429314441 is an equidigital number, since it uses as much as digits as its factorization.

429314441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 529 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 429314441 is about 20719.9044640655. The cubic root of 429314441 is about 754.3828947152.

The spelling of 429314441 in words is "four hundred twenty-nine million, three hundred fourteen thousand, four hundred forty-one".

Divisors: 1 37 199 293 7363 10841 39601 58307 1465237 2157359 11603093 429314441