Search a number
-
+
7820334 = 233971493
BaseRepresentation
bin11101110101010000101110
3112201022111000
4131311100232
54000222314
6435341130
7123320544
oct35652056
915638430
107820334
114461595
1227517a6
13180a722
141077d94
15a47209
hex77542e

7820334 has 32 divisors (see below), whose sum is σ = 17569440. Its totient is φ = 2578176.

The previous prime is 7820321. The next prime is 7820347. The reversal of 7820334 is 4330287.

It is an interprime number because it is at equal distance from previous prime (7820321) and next prime (7820347).

It is a super-2 number, since 2×78203342 = 122315247743112, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7820298 and 7820307.

It is a congruent number.

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, 4492 + ... + 5984.

It is an arithmetic number, because the mean of its divisors is an integer number (549045).

Almost surely, 27820334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7820334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784720).

7820334 is an abundant number, since it is smaller than the sum of its proper divisors (9749106).

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

7820334 is a wasteful number, since it uses less digits than its factorization.

7820334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1595 counting only the distinct ones).

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

The square root of 7820334 is about 2796.4860092623. The cubic root of 7820334 is about 198.4914330721.

The spelling of 7820334 in words is "seven million, eight hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1493 1746 2619 2986 4479 5238 8958 13437 26874 40311 80622 144821 289642 434463 868926 1303389 2606778 3910167 7820334