34154496 has 144 divisors (see below), whose sum is σ = 105405300. Its totient is φ = 10616832.

The previous prime is 34154473. The next prime is 34154537. The reversal of 34154496 is 69445143.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 2073600 = 5664^2 + 1440^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34154496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313290 + ... + 313398.

Almost surely, 2^34154496 is an apocalyptic number.

34154496 is a gapful number since it is divisible by the number (36) 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 34154496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52702650).

34154496 is an abundant number, since it is smaller than the sum of its proper divisors (71250804).

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

34154496 is a wasteful number, since it uses less digits than its factorization.

34154496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 34154496 is about 5844.1848020062. The cubic root of 34154496 is about 324.4511319625.

The spelling of 34154496 in words is "thirty-four million, one hundred fifty-four thousand, four hundred ninety-six".