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34520424 = 2332322719
BaseRepresentation
bin1000001110101…
…1110101101000
32101221211010020
42003223311220
532314123144
63231520440
7566263431
oct203536550
971854106
1034520424
1118538784
12b689120
1371c86b3
144828488
15306d419
hex20ebd68

34520424 has 48 divisors (see below), whose sum is σ = 90249600. Its totient is φ = 11002464.

The previous prime is 34520417. The next prime is 34520429. The reversal of 34520424 is 42402543.

34520424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34520394 and 34520403.

It is not an unprimeable number, because it can be changed into a prime (34520429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11337 + ... + 14055.

It is an arithmetic number, because the mean of its divisors is an integer number (1880200).

Almost surely, 234520424 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 34520424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45124800).

34520424 is an abundant number, since it is smaller than the sum of its proper divisors (55729176).

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

34520424 is a wasteful number, since it uses less digits than its factorization.

34520424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 34520424 is about 5875.4084113362. The cubic root of 34520424 is about 325.6057310938.

Adding to 34520424 its reverse (42402543), we get a palindrome (76922967).

The spelling of 34520424 in words is "thirty-four million, five hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 529 552 1058 1587 2116 2719 3174 4232 5438 6348 8157 10876 12696 16314 21752 32628 62537 65256 125074 187611 250148 375222 500296 750444 1438351 1500888 2876702 4315053 5753404 8630106 11506808 17260212 34520424