Search a number
-
+
968274 = 23443139
BaseRepresentation
bin11101100011001010010
31211012020000
43230121102
5221441044
632430430
711141646
oct3543122
91735200
10968274
1160152a
123a8416
1327b958
141b2c26
15141d69
hexec652

968274 has 40 divisors (see below), whose sum is σ = 2236080. Its totient is φ = 312984.

The previous prime is 968273. The next prime is 968291. The reversal of 968274 is 472869.

968274 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968274.

It is not an unprimeable number, because it can be changed into a prime (968273) 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, 6897 + ... + 7035.

It is an arithmetic number, because the mean of its divisors is an integer number (55902).

2968274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118040).

968274 is an abundant number, since it is smaller than the sum of its proper divisors (1267806).

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

968274 is a wasteful number, since it uses less digits than its factorization.

968274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 968274 is about 984.0091462990. The cubic root of 968274 is about 98.9310815104.

The spelling of 968274 in words is "nine hundred sixty-eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 139 162 258 278 387 417 774 834 1161 1251 2322 2502 3483 3753 5977 6966 7506 11259 11954 17931 22518 35862 53793 107586 161379 322758 484137 968274