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428316660 = 22365291013
BaseRepresentation
bin11001100001111…
…001011111110100
31002211221202000000
4121201321133310
51334122113120
6110300151300
713420426422
oct3141713764
91084852000
10428316660
111aa856712
12bb538530
136a977315
1440c56112
1527908990
hex198797f4

428316660 has 168 divisors, whose sum is σ = 1396460520. Its totient is φ = 110170368.

The previous prime is 428316653. The next prime is 428316673. The reversal of 428316660 is 66613824.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 427745124 = 756^2 + 20682^2 .

It is a super-2 number, since 2×4283166602 = 366910322467111200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 422314 + ... + 423326.

It is an arithmetic number, because the mean of its divisors is an integer number (8312265).

Almost surely, 2428316660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428316660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698230260).

428316660 is an abundant number, since it is smaller than the sum of its proper divisors (968143860).

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

428316660 is a wasteful number, since it uses less digits than its factorization.

428316660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 428316660 is about 20695.8126199480. The cubic root of 428316660 is about 753.7980143172.

The spelling of 428316660 in words is "four hundred twenty-eight million, three hundred sixteen thousand, six hundred sixty".