34200413 has 8 divisors (see below), whose sum is σ = 38998008. Its totient is φ = 29712384.

The previous prime is 34200407. The next prime is 34200457. The reversal of 34200413 is 31400243.

It can be written as a sum of positive squares in 4 ways, for example, as 12652249 + 21548164 = 3557^2 + 4642^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34200413 - 2²⁰ = 33151837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34200391 and 34200400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77156 + ... + 77597.

It is an arithmetic number, because the mean of its divisors is an integer number (4874751).

Almost surely, 2^34200413 is an apocalyptic number.

It is an amenable number.

34200413 is a deficient number, since it is larger than the sum of its proper divisors (4797595).

34200413 is a wasteful number, since it uses less digits than its factorization.

34200413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154783.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34200413 is about 5848.1119175337. Note that the first 3 decimals coincide. The cubic root of 34200413 is about 324.5964632579.

Adding to 34200413 its reverse (31400243), we get a palindrome (65600656).

The spelling of 34200413 in words is "thirty-four million, two hundred thousand, four hundred thirteen".