34151040 has 432 divisors, whose sum is σ = 150786090. Its totient is φ = 7096320.

The previous prime is 34151023. The next prime is 34151059. The reversal of 34151040 is 4015143.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 3415104 = 5544^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3104635 + ... + 3104645.

Almost surely, 2^34151040 is an apocalyptic number.

34151040 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 34151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75393045).

34151040 is an abundant number, since it is smaller than the sum of its proper divisors (116635050).

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

34151040 is a wasteful number, since it uses less digits than its factorization.

34151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34151040 is about 5843.8891159912. The cubic root of 34151040 is about 324.4401881526.

Adding to 34151040 its reverse (4015143), we get a palindrome (38166183).

The spelling of 34151040 in words is "thirty-four million, one hundred fifty-one thousand, forty".