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13348944 = 24327171941
BaseRepresentation
bin110010111011…
…000001010000
3221010012022100
4302323001100
511404131234
61154040400
7221315130
oct62730120
927105270
1013348944
117598294
124579100
1329c4cab
141ab6ac0
15128a399
hexcbb050

13348944 has 240 divisors, whose sum is σ = 48746880. Its totient is φ = 3317760.

The previous prime is 13348943. The next prime is 13348949. The reversal of 13348944 is 44984331.

13348944 is a `hidden beast` number, since 133 + 489 + 44 = 666.

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 = 13348899 and 13348908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13348943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325564 + ... + 325604.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 213348944 is an apocalyptic number.

13348944 is a gapful number since it is divisible by the number (14) 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 13348944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13348944 is an abundant number, since it is smaller than the sum of its proper divisors (35397936).

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

13348944 is a wasteful number, since it uses less digits than its factorization.

13348944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 13348944 is about 3653.6206699656. The cubic root of 13348944 is about 237.2187266661.

The spelling of 13348944 in words is "thirteen million, three hundred forty-eight thousand, nine hundred forty-four".