31434000 has 240 divisors, whose sum is σ = 113278464. Its totient is φ = 7488000.

The previous prime is 31433993. The next prime is 31434017. The reversal of 31434000 is 43413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 1013985 + ... + 1014015.

Almost surely, 2^31434000 is an apocalyptic number.

31434000 is a gapful number since it is divisible by the number (30) 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 31434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56639232).

31434000 is an abundant number, since it is smaller than the sum of its proper divisors (81844464).

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

31434000 is a wasteful number, since it uses less digits than its factorization.

31434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 31434000 is about 5606.6032497404. The cubic root of 31434000 is about 315.5972543659.

Adding to 31434000 its reverse (43413), we get a palindrome (31477413).

The spelling of 31434000 in words is "thirty-one million, four hundred thirty-four thousand".