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990340 = 225132293
BaseRepresentation
bin11110001110010000100
31212022111021
43301302010
5223142330
633120524
711263201
oct3616204
91768437
10990340
1161706a
123b9144
13288a00
141baca8
1514867a
hexf1c84

990340 has 36 divisors (see below), whose sum is σ = 2259684. Its totient is φ = 364416.

The previous prime is 990331. The next prime is 990349. The reversal of 990340 is 43099.

990340 = 902 + 912 + ... + 1542.

It is an interprime number because it is at equal distance from previous prime (990331) and next prime (990349).

It can be written as a sum of positive squares in 6 ways, for example, as 33856 + 956484 = 184^2 + 978^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 990340.

It is not an unprimeable number, because it can be changed into a prime (990349) 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, 3234 + ... + 3526.

It is an arithmetic number, because the mean of its divisors is an integer number (62769).

2990340 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 990340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129842).

990340 is an abundant number, since it is smaller than the sum of its proper divisors (1269344).

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

990340 is a wasteful number, since it uses less digits than its factorization.

990340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 990340 is about 995.1582788682. The cubic root of 990340 is about 99.6769575595.

The spelling of 990340 in words is "nine hundred ninety thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 293 338 586 676 845 1172 1465 1690 2930 3380 3809 5860 7618 15236 19045 38090 49517 76180 99034 198068 247585 495170 990340