34954140 has 96 divisors (see below), whose sum is σ = 108069696. Its totient is φ = 8386560.

The previous prime is 34954133. The next prime is 34954147. The reversal of 34954140 is 4145943.

34954140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34954133) and next prime (34954147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34954098 and 34954107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34954147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31434 + ... + 32526.

It is an arithmetic number, because the mean of its divisors is an integer number (1125726).

Almost surely, 2^34954140 is an apocalyptic number.

34954140 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 34954140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54034848).

34954140 is an abundant number, since it is smaller than the sum of its proper divisors (73115556).

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

34954140 is a wasteful number, since it uses less digits than its factorization.

34954140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 34954140 is about 5912.2026352283. The cubic root of 34954140 is about 326.9637008590.

The spelling of 34954140 in words is "thirty-four million, nine hundred fifty-four thousand, one hundred forty".