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830024 = 231323347
BaseRepresentation
bin11001010101001001000
31120011120122
43022221020
5203030044
625442412
710024616
oct3125110
91504518
10830024
11517678
12340408
13230a50
141786b6
15115dee
hexcaa48

830024 has 32 divisors (see below), whose sum is σ = 1753920. Its totient is φ = 365376.

The previous prime is 830017. The next prime is 830041. The reversal of 830024 is 420038.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 829984 and 830011.

It is a congruent number.

It is an unprimeable number.

830024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2219 + ... + 2565.

It is an arithmetic number, because the mean of its divisors is an integer number (54810).

2830024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876960).

830024 is an abundant number, since it is smaller than the sum of its proper divisors (923896).

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

830024 is a wasteful number, since it uses less digits than its factorization.

830024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 830024 is about 911.0565295304. The cubic root of 830024 is about 93.9788695525.

The spelling of 830024 in words is "eight hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 347 598 694 1196 1388 2392 2776 4511 7981 9022 15962 18044 31924 36088 63848 103753 207506 415012 830024