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429741344 = 2531433207
BaseRepresentation
bin11001100111010…
…101010100100000
31002221122010022002
4121213111110200
51340003210334
6110350503132
713435512134
oct3147252440
91087563262
10429741344
1120063a03a
12bbb04aa8
136b055926
14411073c4
1527adab7e
hex199d5520

429741344 has 24 divisors (see below), whose sum is σ = 873347328. Its totient is φ = 207938880.

The previous prime is 429741341. The next prime is 429741353. The reversal of 429741344 is 443147924.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 429741298 and 429741307.

It is not an unprimeable number, because it can be changed into a prime (429741341) 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 3 ways as a sum of consecutive naturals, for example, 215612 + ... + 217595.

It is an arithmetic number, because the mean of its divisors is an integer number (36389472).

Almost surely, 2429741344 is an apocalyptic number.

It is an amenable number.

429741344 is an abundant number, since it is smaller than the sum of its proper divisors (443605984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429741344 is a wasteful number, since it uses less digits than its factorization.

429741344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433248 (or 433240 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 429741344 is about 20730.2036651838. The cubic root of 429741344 is about 754.6328603990.

The spelling of 429741344 in words is "four hundred twenty-nine million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 433207 866414 1732828 3465656 6931312 13429417 13862624 26858834 53717668 107435336 214870672 429741344