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13434496 = 271031019
BaseRepresentation
bin110011001111…
…111010000000
3221021112122221
4303033322000
511414400441
61155540424
7222122425
oct63177200
927245587
1013434496
117646599
1245ba714
132a24c0a
141ad9d4c
1512a58d1
hexccfe80

13434496 has 32 divisors (see below), whose sum is σ = 27050400. Its totient is φ = 6645504.

The previous prime is 13434481. The next prime is 13434521. The reversal of 13434496 is 69443431.

13434496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12675 + ... + 13693.

It is an arithmetic number, because the mean of its divisors is an integer number (845325).

Almost surely, 213434496 is an apocalyptic number.

13434496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525200).

13434496 is an abundant number, since it is smaller than the sum of its proper divisors (13615904).

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

13434496 is a wasteful number, since it uses less digits than its factorization.

13434496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1124 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 13434496 is about 3665.3098095523. The cubic root of 13434496 is about 237.7244179782.

The spelling of 13434496 in words is "thirteen million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1019 1648 2038 3296 4076 6592 8152 13184 16304 32608 65216 104957 130432 209914 419828 839656 1679312 3358624 6717248 13434496