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2742736 = 243741113
BaseRepresentation
bin1010011101100111010000
312011100022211
422131213100
51200231421
6134441504
732212213
oct12354720
95140284
102742736
111603727
12b03294
13750529
1451577a
153929e1
hex29d9d0

2742736 has 40 divisors (see below), whose sum is σ = 5640264. Its totient is φ = 1290240.

The previous prime is 2742721. The next prime is 2742737. The reversal of 2742736 is 6372472.

It is a happy number.

2742736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 400 + 2742336 = 20^2 + 1656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2742698 and 2742707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742737) 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 7 ways as a sum of consecutive naturals, for example, 24216 + ... + 24328.

22742736 is an apocalyptic number.

It is an amenable number.

2742736 is an abundant number, since it is smaller than the sum of its proper divisors (2897528).

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

2742736 is a wasteful number, since it uses less digits than its factorization.

2742736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 14112, while the sum is 31.

The square root of 2742736 is about 1656.1207685432. The cubic root of 2742736 is about 139.9785000998.

The spelling of 2742736 in words is "two million, seven hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 37 41 74 82 113 148 164 226 296 328 452 592 656 904 1517 1808 3034 4181 4633 6068 8362 9266 12136 16724 18532 24272 33448 37064 66896 74128 171421 342842 685684 1371368 2742736