Search a number
-
+
335666880 = 26325294019
BaseRepresentation
bin10100000000011…
…101111011000000
3212101121122101200
4110000131323000
51141412320010
653150301200
711214056433
oct2400357300
9771548350
10335666880
1116252554a
12944b7800
1354708273
143281981a
151e706cc0
hex1401dec0

335666880 has 168 divisors, whose sum is σ = 1194663600. Its totient is φ = 86403072.

The previous prime is 335666873. The next prime is 335666893. The reversal of 335666880 is 88666533.

It is a super-2 number, since 2×3356668802 = 225344508657868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 81511 + ... + 85529.

Almost surely, 2335666880 is an apocalyptic number.

335666880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597331800).

335666880 is an abundant number, since it is smaller than the sum of its proper divisors (858996720).

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

335666880 is a wasteful number, since it uses less digits than its factorization.

335666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4058 counting only the distinct ones).

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

The square root of 335666880 is about 18321.2139335798. The cubic root of 335666880 is about 694.9755042002.

The spelling of 335666880 in words is "three hundred thirty-five million, six hundred sixty-six thousand, eight hundred eighty".