Search a number
-
+
3243100 = 2252741113
BaseRepresentation
bin1100010111110001011100
320002202200211
430113301130
51312234400
6153302204
736365050
oct14276134
96082624
103243100
111915653
121104964
138971c3
14605c60
15440dba
hex317c5c

3243100 has 72 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 1075200.

The previous prime is 3243061. The next prime is 3243101. The reversal of 3243100 is 13423.

3243100 = 142 + 152 + ... + 2132.

3243100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32431002 = 21035395220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28644 + ... + 28756.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

Almost surely, 23243100 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 3243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

3243100 is an abundant number, since it is smaller than the sum of its proper divisors (5068868).

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

3243100 is a wasteful number, since it uses less digits than its factorization.

3243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3243100 is about 1800.8609052339. The cubic root of 3243100 is about 148.0199023637.

Adding to 3243100 its reverse (13423), we get a palindrome (3256523).

The spelling of 3243100 in words is "three million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 113 140 164 175 205 226 287 350 410 452 565 574 700 791 820 1025 1130 1148 1435 1582 2050 2260 2825 2870 3164 3955 4100 4633 5650 5740 7175 7910 9266 11300 14350 15820 18532 19775 23165 28700 32431 39550 46330 64862 79100 92660 115825 129724 162155 231650 324310 463300 648620 810775 1621550 3243100