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2978241 = 37373833
BaseRepresentation
bin1011010111000111000001
312121022101020
423113013001
51230300431
6143500053
734212630
oct13270701
95538336
102978241
111754662
12bb7629
13803796
14577517
153dc696
hex2d71c1

2978241 has 16 divisors (see below), whose sum is σ = 4662144. Its totient is φ = 1655424.

The previous prime is 2978233. The next prime is 2978251. The reversal of 2978241 is 1428792.

It is a happy number.

2978241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2978241 - 23 = 2978233 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978251) 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, 1140 + ... + 2693.

It is an arithmetic number, because the mean of its divisors is an integer number (291384).

22978241 is an apocalyptic number.

2978241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2978241 is a deficient number, since it is larger than the sum of its proper divisors (1683903).

2978241 is a wasteful number, since it uses less digits than its factorization.

2978241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880.

The product of its digits is 8064, while the sum is 33.

The square root of 2978241 is about 1725.7580942878. The cubic root of 2978241 is about 143.8754227352.

The spelling of 2978241 in words is "two million, nine hundred seventy-eight thousand, two hundred forty-one".

Divisors: 1 3 7 21 37 111 259 777 3833 11499 26831 80493 141821 425463 992747 2978241