29380240 has 40 divisors (see below), whose sum is σ = 68622840. Its totient is φ = 11698176.

The previous prime is 29380189. The next prime is 29380243. The reversal of 29380240 is 4208392.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 25120144 = 2064^2 + 5012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 29380199 and 29380208.

It is not an unprimeable number, because it can be changed into a prime (29380243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19846 + ... + 21274.

It is an arithmetic number, because the mean of its divisors is an integer number (1715571).

Almost surely, 2^29380240 is an apocalyptic number.

29380240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29380240 is an abundant number, since it is smaller than the sum of its proper divisors (39242600).

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

29380240 is a wasteful number, since it uses less digits than its factorization.

29380240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 29380240 is about 5420.3542319668. The cubic root of 29380240 is about 308.5686352546.

The spelling of 29380240 in words is "twenty-nine million, three hundred eighty thousand, two hundred forty".