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3013696 = 2672312
BaseRepresentation
bin1011011111110001000000
312200010000101
423133301000
51232414241
6144332144
734421200
oct13376100
95603011
103013696
111779264
121014054
1381696a
14586400
153e7e31
hex2dfc40

3013696 has 63 divisors (see below), whose sum is σ = 7188327. Its totient is φ = 1249920.

The previous prime is 3013691. The next prime is 3013697. The reversal of 3013696 is 6963103.

The square root of 3013696 is 1736.

It is a perfect power (a square), and thus also a powerful number.

3013696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3013691) 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 8 ways as a sum of consecutive naturals, for example, 97201 + ... + 97231.

Almost surely, 23013696 is an apocalyptic number.

3013696 is the 1736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013696

3013696 is an abundant number, since it is smaller than the sum of its proper divisors (4174631).

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

3013696 is an equidigital number, since it uses as much as digits as its factorization.

3013696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The cubic root of 3013696 is about 144.4441022126. Note that the first 3 decimals are identical.

Multiplying 3013696 by its product of nonzero digits (2916), we get a square (8787937536 = 937442).

Adding to 3013696 its reverse (6963103), we get a palindrome (9976799).

The spelling of 3013696 in words is "three million, thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 392 434 448 496 784 868 961 992 1519 1568 1736 1922 1984 3038 3136 3472 3844 6076 6727 6944 7688 12152 13454 13888 15376 24304 26908 30752 47089 48608 53816 61504 94178 97216 107632 188356 215264 376712 430528 753424 1506848 3013696