293424012 has 192 divisors, whose sum is σ = 935424000. Its totient is φ = 77905152.

The previous prime is 293423989. The next prime is 293424013. The reversal of 293424012 is 210424392.

It is a super-2 number, since 2×293424012² = 172195301636352288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (293424013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3714189 + ... + 3714267.

It is an arithmetic number, because the mean of its divisors is an integer number (4872000).

Almost surely, 2^293424012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293424012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467712000).

293424012 is an abundant number, since it is smaller than the sum of its proper divisors (641999988).

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

293424012 is a wasteful number, since it uses less digits than its factorization.

293424012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 293424012 is about 17129.6238137327. The cubic root of 293424012 is about 664.5054547601.

The spelling of 293424012 in words is "two hundred ninety-three million, four hundred twenty-four thousand, twelve".