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13341408 = 253314483
BaseRepresentation
bin110010111001…
…001011100000
3221002210222020
4302321023200
511403411113
61153541440
7221254143
oct62711340
927083866
1013341408
117592663
124574880
1329c1732
141ab405a
151288023
hexcb92e0

13341408 has 48 divisors (see below), whose sum is σ = 36158976. Its totient is φ = 4302720.

The previous prime is 13341353. The next prime is 13341409. The reversal of 13341408 is 80414331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13341409) 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 7 ways as a sum of consecutive naturals, for example, 735 + ... + 5217.

It is an arithmetic number, because the mean of its divisors is an integer number (753312).

Almost surely, 213341408 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 13341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079488).

13341408 is an abundant number, since it is smaller than the sum of its proper divisors (22817568).

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

13341408 is a wasteful number, since it uses less digits than its factorization.

13341408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13341408 is about 3652.5892186229. The cubic root of 13341408 is about 237.1740785193.

Adding to 13341408 its reverse (80414331), we get a palindrome (93755739).

The spelling of 13341408 in words is "thirteen million, three hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4483 8966 13449 17932 26898 35864 53796 71728 107592 138973 143456 215184 277946 416919 430368 555892 833838 1111784 1667676 2223568 3335352 4447136 6670704 13341408