30141408 has 192 divisors, whose sum is σ = 96671232. Its totient is φ = 8110080.

The previous prime is 30141407. The next prime is 30141457. The reversal of 30141408 is 80414103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30141401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412860 + ... + 412932.

It is an arithmetic number, because the mean of its divisors is an integer number (503496).

Almost surely, 2^30141408 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 30141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48335616).

30141408 is an abundant number, since it is smaller than the sum of its proper divisors (66529824).

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

30141408 is a wasteful number, since it uses less digits than its factorization.

30141408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 30141408 is about 5490.1191243907. The cubic root of 30141408 is about 311.2106938961.

The spelling of 30141408 in words is "thirty million, one hundred forty-one thousand, four hundred eight".