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3380778 = 23441509
BaseRepresentation
bin1100111001011000101010
320100202120000
430321120222
51331141103
6200243430
740510332
oct14713052
96322500
103380778
1119aa035
121170576
13914a7b
146400c2
1546baa3
hex33962a

3380778 has 40 divisors (see below), whose sum is σ = 7775460. Its totient is φ = 1097280.

The previous prime is 3380777. The next prime is 3380779. The reversal of 3380778 is 8770833.

3380778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3380777) and next prime (3380779).

It can be written as a sum of positive squares in 2 ways, for example, as 3337929 + 42849 = 1827^2 + 207^2 .

It is a super-2 number, since 2×33807782 = 22859319770568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3380771) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6388 + ... + 6896.

Almost surely, 23380778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887730).

3380778 is an abundant number, since it is smaller than the sum of its proper divisors (4394682).

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

3380778 is a wasteful number, since it uses less digits than its factorization.

3380778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3380778 is about 1838.6892070168. The cubic root of 3380778 is about 150.0855511973.

The spelling of 3380778 in words is "three million, three hundred eighty thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 509 738 1018 1107 1527 2214 3054 3321 4581 6642 9162 13743 20869 27486 41229 41738 62607 82458 125214 187821 375642 563463 1126926 1690389 3380778