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13344408 = 23327112983
BaseRepresentation
bin110010111001…
…111010011000
3221002222002100
4302321322120
511404010113
61154003400
7221265660
oct62717230
927088070
1013344408
117594940
124576560
1329c2bcc
141ab51a0
151288d73
hexcb9e98

13344408 has 192 divisors, whose sum is σ = 47174400. Its totient is φ = 3306240.

The previous prime is 13344407. The next prime is 13344427. The reversal of 13344408 is 80444331.

It is a Cunningham number, because it is equal to 36532-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344407) 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 47 ways as a sum of consecutive naturals, for example, 160735 + ... + 160817.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 213344408 is an apocalyptic number.

13344408 is a gapful number since it is divisible by the number (18) 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 13344408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

13344408 is an abundant number, since it is smaller than the sum of its proper divisors (33829992).

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

13344408 is a wasteful number, since it uses less digits than its factorization.

13344408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 13344408 is about 3652.9998631262. Note that the first 3 decimals coincide. The cubic root of 13344408 is about 237.1918544770.

Adding to 13344408 its reverse (80444331), we get a palindrome (93788739).

The spelling of 13344408 in words is "thirteen million, three hundred forty-four thousand, four hundred eight".