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34102224 = 24321318217
BaseRepresentation
bin1000001000010…
…1101111010000
32101011120110100
42002011233100
532212232344
63214532400
7562602252
oct202055720
971146410
1034102224
1118282562
12b507100
1370b0240
144759cd2
152ed9569
hex2085bd0

34102224 has 60 divisors (see below), whose sum is σ = 102785956. Its totient is φ = 10492416.

The previous prime is 34102199. The next prime is 34102241. The reversal of 34102224 is 42220143.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 27751824 = 2520^2 + 5268^2 .

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 = 34102197 and 34102206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7237 + ... + 10980.

Almost surely, 234102224 is an apocalyptic number.

It is an amenable number.

34102224 is an abundant number, since it is smaller than the sum of its proper divisors (68683732).

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

34102224 is a wasteful number, since it uses less digits than its factorization.

34102224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18244 (or 18235 counting only the distinct ones).

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

The square root of 34102224 is about 5839.7109517510. The cubic root of 34102224 is about 324.2855279088.

Adding to 34102224 its reverse (42220143), we get a palindrome (76322367).

The spelling of 34102224 in words is "thirty-four million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 18217 36434 54651 72868 109302 145736 163953 218604 236821 291472 327906 437208 473642 655812 710463 874416 947284 1311624 1420926 1894568 2131389 2623248 2841852 3789136 4262778 5683704 8525556 11367408 17051112 34102224