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2742441 = 313193701
BaseRepresentation
bin1010011101100010101001
312011022220220
422131202221
51200224231
6134440253
732211312
oct12354251
95138826
102742441
111603489
12b03089
13750360
14515609
15392896
hex29d8a9

2742441 has 16 divisors (see below), whose sum is σ = 4146240. Its totient is φ = 1598400.

The previous prime is 2742427. The next prime is 2742461. The reversal of 2742441 is 1442472.

2742441 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 2742441 - 25 = 2742409 is a prime.

2742441 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2742461) 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, 1110 + ... + 2591.

It is an arithmetic number, because the mean of its divisors is an integer number (259140).

22742441 is an apocalyptic number.

It is an amenable number.

2742441 is a deficient number, since it is larger than the sum of its proper divisors (1403799).

2742441 is a wasteful number, since it uses less digits than its factorization.

2742441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736.

The product of its digits is 1792, while the sum is 24.

The square root of 2742441 is about 1656.0317025951. The cubic root of 2742441 is about 139.9734813717.

The spelling of 2742441 in words is "two million, seven hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 13 19 39 57 247 741 3701 11103 48113 70319 144339 210957 914147 2742441