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429278004 = 223211924389
BaseRepresentation
bin11001100101100…
…100001100110100
31002220202120201100
4121211210030310
51334343344004
6110332530100
713431542241
oct3145441464
91086676640
10429278004
11200352a11
12bb920930
136ac22a6c
14410265c8
1527a48739
hex19964334

429278004 has 18 divisors (see below), whose sum is σ = 1085119490. Its totient is φ = 143092656.

The previous prime is 429277991. The next prime is 429278011. The reversal of 429278004 is 400872924.

It can be written as a sum of positive squares in only one way, i.e., 380250000 + 49028004 = 19500^2 + 7002^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11924389 = 429278004 / (4 + 2 + 9 + 2 + 7 + 8 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 429278004.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 5962159 + ... + 5962230.

Almost surely, 2429278004 is an apocalyptic number.

It is an amenable number.

429278004 is an abundant number, since it is smaller than the sum of its proper divisors (655841486).

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

429278004 is a wasteful number, since it uses less digits than its factorization.

429278004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924399 (or 11924394 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 429278004 is about 20719.0251701184. The cubic root of 429278004 is about 754.3615519847.

The spelling of 429278004 in words is "four hundred twenty-nine million, two hundred seventy-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 11924389 23848778 35773167 47697556 71546334 107319501 143092668 214639002 429278004