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334890 = 2325612
BaseRepresentation
bin1010001110000101010
3122000101100
41101300222
541204030
611102230
72563233
oct1216052
9560340
10334890
11209676
12141976
13b957a
148a08a
1569360
hex51c2a

334890 has 36 divisors (see below), whose sum is σ = 885222. Its totient is φ = 87840.

The previous prime is 334889. The next prime is 334891. The reversal of 334890 is 98433.

It is an interprime number because it is at equal distance from previous prime (334889) and next prime (334891).

It can be written as a sum of positive squares in 3 ways, for example, as 77841 + 257049 = 279^2 + 507^2 .

It is a super-2 number, since 2×3348902 = 224302624200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (334891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5460 + ... + 5520.

2334890 is an apocalyptic number.

334890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442611).

334890 is an abundant number, since it is smaller than the sum of its proper divisors (550332).

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

334890 is a wasteful number, since it uses less digits than its factorization.

334890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 334890 is about 578.6968118108. The cubic root of 334890 is about 69.4438930919.

The spelling of 334890 in words is "three hundred thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 3721 5490 7442 11163 18605 22326 33489 37210 55815 66978 111630 167445 334890