Search a number
-
+
7083342 = 233722677
BaseRepresentation
bin11011000001010101001110
3111022212112000
4123001111032
53303131332
6411453130
7114131100
oct33012516
914285460
107083342
113aa8902
1224571a6
131610136
14d25570
1594db7c
hex6c154e

7083342 has 48 divisors (see below), whose sum is σ = 18317520. Its totient is φ = 2023056.

The previous prime is 7083341. The next prime is 7083343. The reversal of 7083342 is 2433807.

It is an interprime number because it is at equal distance from previous prime (7083341) and next prime (7083343).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7083341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308 + ... + 3984.

It is an arithmetic number, because the mean of its divisors is an integer number (381615).

Almost surely, 27083342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7083342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158760).

7083342 is an abundant number, since it is smaller than the sum of its proper divisors (11234178).

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

7083342 is a wasteful number, since it uses less digits than its factorization.

7083342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7083342 is about 2661.4548652945. The cubic root of 7083342 is about 192.0493037444.

The spelling of 7083342 in words is "seven million, eighty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 2677 5354 8031 16062 18739 24093 37478 48186 56217 72279 112434 131173 144558 168651 262346 337302 393519 505953 787038 1011906 1180557 2361114 3541671 7083342