Search a number
-
+
3364788 = 223741977
BaseRepresentation
bin1100110101011110110100
320022221121210
430311132310
51330133123
6200041420
740412610
oct14653664
96287553
103364788
111999019
121163270
1390a6cb
14638340
15466e93
hex3357b4

3364788 has 48 divisors (see below), whose sum is σ = 9201024. Its totient is φ = 936960.

The previous prime is 3364787. The next prime is 3364799. The reversal of 3364788 is 8874633.

It is a super-2 number, since 2×33647882 = 22643596569888, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956 + ... + 3932.

It is an arithmetic number, because the mean of its divisors is an integer number (191688).

Almost surely, 23364788 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 3364788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600512).

3364788 is an abundant number, since it is smaller than the sum of its proper divisors (5836236).

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

3364788 is a wasteful number, since it uses less digits than its factorization.

3364788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 3364788 is about 1834.3358471120. The cubic root of 3364788 is about 149.8485582652.

The spelling of 3364788 in words is "three million, three hundred sixty-four thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 977 1148 1722 1954 2931 3444 3908 5862 6839 11724 13678 20517 27356 40057 41034 80114 82068 120171 160228 240342 280399 480684 560798 841197 1121596 1682394 3364788