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2830032 = 24336551
BaseRepresentation
bin1010110010111011010000
312022210002000
422302323100
51211030112
6140354000
733024552
oct12627320
95283060
102830032
111663277
12b45900
1378119a
145394d2
153ad7dc
hex2b2ed0

2830032 has 40 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 943200.

The previous prime is 2830027. The next prime is 2830033. The reversal of 2830032 is 2300382.

2830032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28300322 = 16018162242048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2829987 and 2830014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830033) 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 7 ways as a sum of consecutive naturals, for example, 2844 + ... + 3707.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

22830032 is an apocalyptic number.

It is an amenable number.

2830032 is an abundant number, since it is smaller than the sum of its proper divisors (5294448).

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

2830032 is a wasteful number, since it uses less digits than its factorization.

2830032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2830032 is about 1682.2698951120. The cubic root of 2830032 is about 141.4480991008.

The spelling of 2830032 in words is "two million, eight hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 6551 13102 19653 26204 39306 52408 58959 78612 104816 117918 157224 176877 235836 314448 353754 471672 707508 943344 1415016 2830032