Search a number
-
+
34210224 = 2432237571
BaseRepresentation
bin1000001010000…
…0000110110000
32101101001121100
42002200012300
532224211344
63221124400
7563532156
oct202400660
971331540
1034210224
1118346714
12b559700
13711a449
1447873d6
15300b569
hex20a01b0

34210224 has 30 divisors (see below), whose sum is σ = 95741516. Its totient is φ = 11403360.

The previous prime is 34210217. The next prime is 34210229. The reversal of 34210224 is 42201243.

It is a super-2 number, since 2×342102242 = 2340678852260352, which contains 22 as substring.

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 = 34210197 and 34210206.

It is not an unprimeable number, because it can be changed into a prime (34210229) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 118642 + ... + 118929.

Almost surely, 234210224 is an apocalyptic number.

It is an amenable number.

34210224 is an abundant number, since it is smaller than the sum of its proper divisors (61531292).

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

34210224 is a wasteful number, since it uses less digits than its factorization.

34210224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237585 (or 237576 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34210224 is about 5848.9506751211. The cubic root of 34210224 is about 324.6274990569.

Adding to 34210224 its reverse (42201243), we get a palindrome (76411467).

The spelling of 34210224 in words is "thirty-four million, two hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 237571 475142 712713 950284 1425426 1900568 2138139 2850852 3801136 4276278 5701704 8552556 11403408 17105112 34210224