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90340 = 2254517
BaseRepresentation
bin10110000011100100
311120220221
4112003210
510342330
61534124
7524245
oct260344
9146827
1090340
1161968
1244344
1332173
1424ccc
151bb7a
hex160e4

90340 has 12 divisors (see below), whose sum is σ = 189756. Its totient is φ = 36128.

The previous prime is 90313. The next prime is 90353. The reversal of 90340 is 4309.

90340 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 79524 = 104^2 + 282^2 .

It is a super-2 number, since 2×903402 = 16322631200, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2239 + ... + 2278.

It is an arithmetic number, because the mean of its divisors is an integer number (15813).

290340 is an apocalyptic number.

It is an amenable number.

90340 is an abundant number, since it is smaller than the sum of its proper divisors (99416).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94878).

90340 is a wasteful number, since it uses less digits than its factorization.

90340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 90340 is about 300.5661324900. The cubic root of 90340 is about 44.8704090554.

Adding to 90340 its reverse (4309), we get a palindrome (94649).

The spelling of 90340 in words is "ninety thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 4517 9034 18068 22585 45170 90340