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428307399 = 33131220249
BaseRepresentation
bin11001100001110…
…111001111000111
31002211221021022000
4121201313033013
51334121314044
6110300040343
713420360422
oct3141671707
91084837260
10428307399
111aa84a763
12bb5330b3
136a973040
1440c529b9
1527905d69
hex198773c7

428307399 has 16 divisors (see below), whose sum is σ = 683340000. Its totient is φ = 263573568.

The previous prime is 428307389. The next prime is 428307419. The reversal of 428307399 is 993703824.

It is a happy number.

It is not a de Polignac number, because 428307399 - 212 = 428303303 is a prime.

It is a super-3 number, since 3×4283073993 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428307379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609774 + ... + 610475.

It is an arithmetic number, because the mean of its divisors is an integer number (42708750).

Almost surely, 2428307399 is an apocalyptic number.

428307399 is a deficient number, since it is larger than the sum of its proper divisors (255032601).

428307399 is a wasteful number, since it uses less digits than its factorization.

428307399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220271 (or 1220265 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 428307399 is about 20695.5888778261. The cubic root of 428307399 is about 753.7925814413.

The spelling of 428307399 in words is "four hundred twenty-eight million, three hundred seven thousand, three hundred ninety-nine".

Divisors: 1 3 9 13 27 39 117 351 1220249 3660747 10982241 15863237 32946723 47589711 142769133 428307399