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816340 = 2257417
BaseRepresentation
bin11000111010011010100
31112110210211
43013103110
5202110330
625255204
76640000
oct3072324
91473724
10816340
11508368
12334504
13227755
14173700
15111d2a
hexc74d4

816340 has 60 divisors (see below), whose sum is σ = 2117556. Its totient is φ = 263424.

The previous prime is 816329. The next prime is 816341. The reversal of 816340 is 43618.

816340 is digitally balanced in base 2, 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 470596 + 345744 = 686^2 + 588^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 7.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48012 + ... + 48028.

2816340 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 816340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058778).

816340 is an abundant number, since it is smaller than the sum of its proper divisors (1301216).

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

816340 is a wasteful number, since it uses less digits than its factorization.

816340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 816340 is about 903.5153568147. The cubic root of 816340 is about 93.4595514558.

Adding to 816340 its reverse (43618), we get a palindrome (859958).

It can be divided in two parts, 816 and 340, that added together give a square (1156 = 342).

The spelling of 816340 in words is "eight hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 343 476 490 595 686 833 980 1190 1372 1666 1715 2380 2401 3332 3430 4165 4802 5831 6860 8330 9604 11662 12005 16660 23324 24010 29155 40817 48020 58310 81634 116620 163268 204085 408170 816340