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13400352 = 2532717223

13400352 has 216 divisors, whose sum is σ = 48275136. Its totient is φ = 3446784.

The previous prime is 13400341. The next prime is 13400353. The reversal of 13400352 is 25300431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (13400353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582613 + ... + 582635.

It is an arithmetic number, because the mean of its divisors is an integer number (223496).

Almost surely, 213400352 is an apocalyptic number.

13400352 is a gapful number since it is divisible by the number (12) 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 13400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137568).

13400352 is an abundant number, since it is smaller than the sum of its proper divisors (34874784).

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

13400352 is a wasteful number, since it uses less digits than its factorization.

13400352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13400352 is about 3660.6491227650. The cubic root of 13400352 is about 237.5228535718.

Adding to 13400352 its reverse (25300431), we get a palindrome (38700783).

The spelling of 13400352 in words is "thirteen million, four hundred thousand, three hundred fifty-two".