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335380 = 22541409
BaseRepresentation
bin1010001111000010100
3122001001111
41101320110
541213010
611104404
72564533
oct1217024
9561044
10335380
11209a81
12142104
13b9866
148a31a
156958a
hex51e14

335380 has 24 divisors (see below), whose sum is σ = 723240. Its totient is φ = 130560.

The previous prime is 335347. The next prime is 335381. The reversal of 335380 is 83533.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 309136 = 162^2 + 556^2 .

It is a super-2 number, since 2×3353802 = 224959488800, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616 + ... + 1024.

It is an arithmetic number, because the mean of its divisors is an integer number (30135).

2335380 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 335380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361620).

335380 is an abundant number, since it is smaller than the sum of its proper divisors (387860).

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

335380 is a wasteful number, since it uses less digits than its factorization.

335380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 335380 is about 579.1200221025. The cubic root of 335380 is about 69.4777459243.

The spelling of 335380 in words is "three hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 409 410 818 820 1636 2045 4090 8180 16769 33538 67076 83845 167690 335380