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2778342 = 23783797
BaseRepresentation
bin1010100110010011100110
312020011011120
422212103212
51202401332
6135314410
732421060
oct12462346
95204146
102778342
111628456
12b1ba06
137637b8
14524730
1539d32c
hex2a64e6

2778342 has 32 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 783264.

The previous prime is 2778341. The next prime is 2778343. The reversal of 2778342 is 2438772.

2778342 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 (2778341) and next prime (2778343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778341) 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 15 ways as a sum of consecutive naturals, for example, 3088 + ... + 3884.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

22778342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2778342 is an abundant number, since it is smaller than the sum of its proper divisors (3656730).

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

2778342 is a wasteful number, since it uses less digits than its factorization.

2778342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its digits is 18816, while the sum is 33.

The square root of 2778342 is about 1666.8359247388. The cubic root of 2778342 is about 140.5816279083.

The spelling of 2778342 in words is "two million, seven hundred seventy-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 797 1162 1594 1743 2391 3486 4782 5579 11158 16737 33474 66151 132302 198453 396906 463057 926114 1389171 2778342