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918340 = 225173773
BaseRepresentation
bin11100000001101000100
31201122201121
43200031010
5213341330
631403324
710543243
oct3401504
91648647
10918340
11577a65
12383544
13261cc7
1419c95a
1513217a
hexe0344

918340 has 48 divisors (see below), whose sum is σ = 2125872. Its totient is φ = 331776.

The previous prime is 918329. The next prime is 918341. The reversal of 918340 is 43819.

It can be written as a sum of positive squares in 8 ways, for example, as 101124 + 817216 = 318^2 + 904^2 .

It is not an unprimeable number, because it can be changed into a prime (918341) by changing a digit.

918340 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 12544 + ... + 12616.

It is an arithmetic number, because the mean of its divisors is an integer number (44289).

2918340 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 918340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062936).

918340 is an abundant number, since it is smaller than the sum of its proper divisors (1207532).

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

918340 is a wasteful number, since it uses less digits than its factorization.

918340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 918340 is about 958.3005791504. The cubic root of 918340 is about 97.2003511196.

The spelling of 918340 in words is "nine hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 73 74 85 146 148 170 185 292 340 365 370 629 730 740 1241 1258 1460 2482 2516 2701 3145 4964 5402 6205 6290 10804 12410 12580 13505 24820 27010 45917 54020 91834 183668 229585 459170 918340