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8022834 = 2331011471
BaseRepresentation
bin11110100110101100110010
3120002121021000
4132212230302
54023212314
6443542430
7125123121
oct36465462
916077230
108022834
11458a746
12282aa16
13187b951
1410cbab8
15a87209
hex7a6b32

8022834 has 32 divisors (see below), whose sum is σ = 18017280. Its totient is φ = 2646000.

The previous prime is 8022829. The next prime is 8022841. The reversal of 8022834 is 4382208.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8022798 and 8022807.

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, 4719 + ... + 6189.

It is an arithmetic number, because the mean of its divisors is an integer number (563040).

Almost surely, 28022834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8022834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008640).

8022834 is an abundant number, since it is smaller than the sum of its proper divisors (9994446).

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

8022834 is a wasteful number, since it uses less digits than its factorization.

8022834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8022834 is about 2832.4607676012. The cubic root of 8022834 is about 200.1901025811.

The spelling of 8022834 in words is "eight million, twenty-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1471 1818 2727 2942 4413 5454 8826 13239 26478 39717 79434 148571 297142 445713 891426 1337139 2674278 4011417 8022834