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12949344 = 253244963
BaseRepresentation
bin110001011001…
…011101100000
3220100220011100
4301121131200
511303334334
61141314400
7215032122
oct61313540
926326140
1012949344
117345041
124405a00
1328b5145
141a11212
15120bc99
hexc59760

12949344 has 36 divisors (see below), whose sum is σ = 36825516. Its totient is φ = 4316352.

The previous prime is 12949337. The next prime is 12949357. The reversal of 12949344 is 44394921.

12949344 is a `hidden beast` number, since 129 + 493 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12949299 and 12949308.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 22194 + ... + 22769.

It is an arithmetic number, because the mean of its divisors is an integer number (1022931).

Almost surely, 212949344 is an apocalyptic number.

It is an amenable number.

12949344 is an abundant number, since it is smaller than the sum of its proper divisors (23876172).

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

12949344 is a wasteful number, since it uses less digits than its factorization.

12949344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44979 (or 44968 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12949344 is about 3598.5196956526. The cubic root of 12949344 is about 234.8276629943.

The spelling of 12949344 in words is "twelve million, nine hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44963 89926 134889 179852 269778 359704 404667 539556 719408 809334 1079112 1438816 1618668 2158224 3237336 4316448 6474672 12949344