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3040100 = 2252743101
BaseRepresentation
bin1011100110001101100100
312201110020022
423212031210
51234240400
6145054312
734561160
oct13461544
95643208
103040100
111797088
121027398
1382599b
14591ca0
15400b85
hex2e6364

3040100 has 72 divisors (see below), whose sum is σ = 7791168. Its totient is φ = 1008000.

The previous prime is 3040091. The next prime is 3040111. The reversal of 3040100 is 10403.

3040100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 30050 + ... + 30150.

Almost surely, 23040100 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 3040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895584).

3040100 is an abundant number, since it is smaller than the sum of its proper divisors (4751068).

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

3040100 is a wasteful number, since it uses less digits than its factorization.

3040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3040100 is about 1743.5882541472. The cubic root of 3040100 is about 144.8647172629.

Adding to 3040100 its reverse (10403), we get a palindrome (3050503).

The spelling of 3040100 in words is "three million, forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 101 140 172 175 202 215 301 350 404 430 505 602 700 707 860 1010 1075 1204 1414 1505 2020 2150 2525 2828 3010 3535 4300 4343 5050 6020 7070 7525 8686 10100 14140 15050 17372 17675 21715 30100 30401 35350 43430 60802 70700 86860 108575 121604 152005 217150 304010 434300 608020 760025 1520050 3040100