34513020 has 48 divisors (see below), whose sum is σ = 107375520. Its totient is φ = 9203328.

The previous prime is 34513001. The next prime is 34513049. The reversal of 34513020 is 2031543.

It is a super-3 number, since 3×34513020³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 34512984 and 34513002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31417 + ... + 32496.

It is an arithmetic number, because the mean of its divisors is an integer number (2236990).

Almost surely, 2^34513020 is an apocalyptic number.

34513020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34513020 is an abundant number, since it is smaller than the sum of its proper divisors (72862500).

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

34513020 is a wasteful number, since it uses less digits than its factorization.

34513020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63931 (or 63923 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34513020 is about 5874.7782936890. The cubic root of 34513020 is about 325.5824506033.

Adding to 34513020 its reverse (2031543), we get a palindrome (36544563).

The spelling of 34513020 in words is "thirty-four million, five hundred thirteen thousand, twenty".