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429675144 = 23323778397
BaseRepresentation
bin11001100111000…
…101001010001000
31002221111202111020
4121213011022020
51334444101034
6110345232440
713435115133
oct3147051210
91087452436
10429675144
112005a4328
12bba92720
136b031762
14410cb21a
1527ac6249
hex199c5288

429675144 has 32 divisors (see below), whose sum is σ = 1120893120. Its totient is φ = 136997696.

The previous prime is 429675143. The next prime is 429675157. The reversal of 429675144 is 441576924.

It is a junction number, because it is equal to n+sod(n) for n = 429675096 and 429675105.

It is not an unprimeable number, because it can be changed into a prime (429675143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388647 + ... + 389750.

It is an arithmetic number, because the mean of its divisors is an integer number (35027910).

Almost surely, 2429675144 is an apocalyptic number.

It is an amenable number.

429675144 is an abundant number, since it is smaller than the sum of its proper divisors (691217976).

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

429675144 is a wasteful number, since it uses less digits than its factorization.

429675144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778429 (or 778425 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 429675144 is about 20728.6068996448. The cubic root of 429675144 is about 754.5941089799.

The spelling of 429675144 in words is "four hundred twenty-nine million, six hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 778397 1556794 2335191 3113588 4670382 6227176 9340764 17903131 18681528 35806262 53709393 71612524 107418786 143225048 214837572 429675144