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3332196 = 2232721889
BaseRepresentation
bin1100101101100001100100
320021021220200
430231201210
51323112241
6155230500
740215600
oct14554144
96237820
103332196
11197658a
121148430
138c891a
1462a500
1545c4b6
hex32d864

3332196 has 54 divisors (see below), whose sum is σ = 9803430. Its totient is φ = 951552.

The previous prime is 3332191. The next prime is 3332207. The reversal of 3332196 is 6912333.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 509796 = 1680^2 + 714^2 .

It is a super-2 number, since 2×33321962 = 22207060364832, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3332191) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 820 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 23332196 is an apocalyptic number.

3332196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901715).

3332196 is an abundant number, since it is smaller than the sum of its proper divisors (6471234).

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

3332196 is a wasteful number, since it uses less digits than its factorization.

3332196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1901 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 3332196 is about 1825.4303602165. The cubic root of 3332196 is about 149.3631667826.

The spelling of 3332196 in words is "three million, three hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 1889 3778 5667 7556 11334 13223 17001 22668 26446 34002 39669 52892 68004 79338 92561 119007 158676 185122 238014 277683 370244 476028 555366 833049 1110732 1666098 3332196