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2733864 = 233716273
BaseRepresentation
bin1010011011011100101000
312010220011020
422123130220
51144440424
6134332440
732144310
oct12333450
95126136
102733864
1115a7aa1
12aba120
13749493
14512440
15390079
hex29b728

2733864 has 32 divisors (see below), whose sum is σ = 7811520. Its totient is φ = 781056.

The previous prime is 2733851. The next prime is 2733869. The reversal of 2733864 is 4683372.

2733864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2733869) 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, 7969 + ... + 8304.

It is an arithmetic number, because the mean of its divisors is an integer number (244110).

22733864 is an apocalyptic number.

2733864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2733864 is an abundant number, since it is smaller than the sum of its proper divisors (5077656).

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

2733864 is a wasteful number, since it uses less digits than its factorization.

2733864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16289 (or 16285 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 2733864 is about 1653.4400503193. The cubic root of 2733864 is about 139.8274063596.

It can be divided in two parts, 2 and 733864, that added together give a triangular number (733866 = T1211).

The spelling of 2733864 in words is "two million, seven hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 16273 32546 48819 65092 97638 113911 130184 195276 227822 341733 390552 455644 683466 911288 1366932 2733864