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13434304 = 261367241
BaseRepresentation
bin110011001111…
…110111000000
3221021112101211
4303033313000
511414344204
61155535504
7222122032
oct63176700
927245354
1013434304
117646434
1245ba594
132a24ac0
141ad9c52
1512a5804
hexccfdc0

13434304 has 56 divisors (see below), whose sum is σ = 29258768. Its totient is φ = 6082560.

The previous prime is 13434299. The next prime is 13434307. The reversal of 13434304 is 40343431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55624 + ... + 55864.

It is an arithmetic number, because the mean of its divisors is an integer number (522478).

Almost surely, 213434304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629384).

13434304 is an abundant number, since it is smaller than the sum of its proper divisors (15824464).

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

13434304 is a wasteful number, since it uses less digits than its factorization.

13434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 13434304 is about 3665.2836179483. The cubic root of 13434304 is about 237.7232854880.

Adding to 13434304 its reverse (40343431), we get a palindrome (53777735).

It can be divided in two parts, 134 and 34304, that multiplied together give a square (4596736 = 21442).

The spelling of 13434304 in words is "thirteen million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 241 268 416 482 536 832 871 964 1072 1742 1928 2144 3133 3484 3856 4288 6266 6968 7712 12532 13936 15424 16147 25064 27872 32294 50128 55744 64588 100256 129176 200512 209911 258352 419822 516704 839644 1033408 1679288 3358576 6717152 13434304