29345940 has 72 divisors (see below), whose sum is σ = 95871048. Its totient is φ = 7223040.

The previous prime is 29345887. The next prime is 29345947. The reversal of 29345940 is 4954392.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 26255376 = 1758^2 + 5124^2 .

It is a super-2 number, since 2×29345940² = 1722368388967200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29345895 and 29345904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29345947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3931 + ... + 8610.

Almost surely, 2^29345940 is an apocalyptic number.

29345940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29345940 is an abundant number, since it is smaller than the sum of its proper divisors (66525108).

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

29345940 is a wasteful number, since it uses less digits than its factorization.

29345940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12569 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 29345940 is about 5417.1893081191. The cubic root of 29345940 is about 308.4485088750.

The spelling of 29345940 in words is "twenty-nine million, three hundred forty-five thousand, nine hundred forty".