29531034 has 128 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 8268480.

The previous prime is 29531009. The next prime is 29531041. The reversal of 29531034 is 43013592.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 29530989 and 29531007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500497 + ... + 500555.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^29531034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29531034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

29531034 is an abundant number, since it is smaller than the sum of its proper divisors (47883366).

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

29531034 is a wasteful number, since it uses less digits than its factorization.

29531034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 29531034 is about 5434.2464058966. The cubic root of 29531034 is about 309.0956438773.

It can be divided in two parts, 295 and 31034, that added together give a square (31329 = 177²).

The spelling of 29531034 in words is "twenty-nine million, five hundred thirty-one thousand, thirty-four".