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434407842 = 232112193979
BaseRepresentation
bin11001111001001…
…000100110100010
31010021102012112100
4121321020212202
51342202022332
6111034511230
713523256111
oct3171104642
91107365470
10434407842
11203237050
12101595516
136bcca97b
144199dc78
152820d67c
hex19e489a2

434407842 has 24 divisors (see below), whose sum is σ = 1026782640. Its totient is φ = 131638680.

The previous prime is 434407789. The next prime is 434407859. The reversal of 434407842 is 248704434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434407797 and 434407806.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1096792 + ... + 1097187.

It is an arithmetic number, because the mean of its divisors is an integer number (42782610).

Almost surely, 2434407842 is an apocalyptic number.

434407842 is an abundant number, since it is smaller than the sum of its proper divisors (592374798).

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

434407842 is a wasteful number, since it uses less digits than its factorization.

434407842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193998 (or 2193995 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 434407842 is about 20842.4528786801. The cubic root of 434407842 is about 757.3545150787.

The spelling of 434407842 in words is "four hundred thirty-four million, four hundred seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2193979 4387958 6581937 13163874 19745811 24133769 39491622 48267538 72401307 144802614 217203921 434407842