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429328656 = 24322981449
BaseRepresentation
bin11001100101110…
…000100100010000
31002220212011012100
4121211300210100
51334402004111
6110334000400
713432143021
oct3145604420
91086764170
10429328656
11200387a79
12bb946100
136ac3cb33
144103ac48
1527a58756
hex19970910

429328656 has 30 divisors (see below), whose sum is σ = 1201524350. Its totient is φ = 143109504.

The previous prime is 429328651. The next prime is 429328661. The reversal of 429328656 is 656823924.

It is an interprime number because it is at equal distance from previous prime (429328651) and next prime (429328661).

It can be written as a sum of positive squares in only one way, i.e., 419594256 + 9734400 = 20484^2 + 3120^2 .

It is not an unprimeable number, because it can be changed into a prime (429328651) 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 5 ways as a sum of consecutive naturals, for example, 1490581 + ... + 1490868.

Almost surely, 2429328656 is an apocalyptic number.

It is an amenable number.

429328656 is an abundant number, since it is smaller than the sum of its proper divisors (772195694).

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

429328656 is a wasteful number, since it uses less digits than its factorization.

429328656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981463 (or 2981454 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 429328656 is about 20720.2474888694. The cubic root of 429328656 is about 754.3912207295.

The spelling of 429328656 in words is "four hundred twenty-nine million, three hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2981449 5962898 8944347 11925796 17888694 23851592 26833041 35777388 47703184 53666082 71554776 107332164 143109552 214664328 429328656