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290340 = 223251613
BaseRepresentation
bin1000110111000100100
3112202021100
41012320210
533242330
610120100
72316321
oct1067044
9482240
10290340
11189156
12120030
13a21cb
1477b48
155b060
hex46e24

290340 has 36 divisors (see below), whose sum is σ = 881244. Its totient is φ = 77376.

The previous prime is 290327. The next prime is 290347. The reversal of 290340 is 43092.

290340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 147456 = 378^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (290347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (24479).

2290340 is an apocalyptic number.

290340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290340 is an abundant number, since it is smaller than the sum of its proper divisors (590904).

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

290340 is a wasteful number, since it uses less digits than its factorization.

290340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 290340 is about 538.8320703150. The cubic root of 290340 is about 66.2169171480.

It can be divided in two parts, 290 and 340, that added together give a triangular number (630 = T35).

The spelling of 290340 in words is "two hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1613 3226 4839 6452 8065 9678 14517 16130 19356 24195 29034 32260 48390 58068 72585 96780 145170 290340