Search a number
-
+
973242 = 23367269
BaseRepresentation
bin11101101100110111010
31211110001000
43231212322
5222120432
632505430
711162304
oct3554672
91743030
10973242
11605236
123ab276
13280caa
141b4974
1514357c
hexed9ba

973242 has 32 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 318384.

The previous prime is 973213. The next prime is 973253. The reversal of 973242 is 242379.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3484 + ... + 3752.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

2973242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

973242 is an abundant number, since it is smaller than the sum of its proper divisors (1229958).

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

973242 is a wasteful number, since it uses less digits than its factorization.

973242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 973242 is about 986.5302833669. The cubic root of 973242 is about 99.0999908018.

973242 divided by its sum of digits (27) gives a triangular number (36046 = T268).

The spelling of 973242 in words is "nine hundred seventy-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 269 402 538 603 807 1206 1614 1809 2421 3618 4842 7263 14526 18023 36046 54069 108138 162207 324414 486621 973242