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429040660 = 225113229829
BaseRepresentation
bin11001100100101…
…010010000010100
31002220022112010211
4121210222100110
51334313300120
6110323455204
713426533256
oct3144522024
91086275124
10429040660
11200200664
12bb827504
136ab6ba19
1440da3cd6
15279ed25a
hex1992a414

429040660 has 48 divisors (see below), whose sum is σ = 914029200. Its totient is φ = 169150464.

The previous prime is 429040649. The next prime is 429040663. The reversal of 429040660 is 66040924.

429040660 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4186116 + 424854544 = 2046^2 + 20612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429040663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517126 + ... + 517954.

It is an arithmetic number, because the mean of its divisors is an integer number (19042275).

Almost surely, 2429040660 is an apocalyptic number.

It is an amenable number.

429040660 is an abundant number, since it is smaller than the sum of its proper divisors (484988540).

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

429040660 is a wasteful number, since it uses less digits than its factorization.

429040660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 429040660 is about 20713.2966956011. The cubic root of 429040660 is about 754.2224997515. Note that the first 3 decimals are identical.

The spelling of 429040660 in words is "four hundred twenty-nine million, forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 113 226 229 452 458 565 829 916 1130 1145 1658 2260 2290 3316 4145 4580 8290 16580 25877 51754 93677 103508 129385 187354 189841 258770 374708 379682 468385 517540 759364 936770 949205 1873540 1898410 3796820 21452033 42904066 85808132 107260165 214520330 429040660