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34010224 = 2431191359
BaseRepresentation
bin1000000110111…
…1010001110000
32100222220020221
42001233101300
532201311344
63212542424
7562040113
oct201572160
970886227
1034010224
111821a426
12b481a14
13707a3c1
14473457a
152ebc184
hex206f470

34010224 has 40 divisors (see below), whose sum is σ = 68567040. Its totient is φ = 16324800.

The previous prime is 34010213. The next prime is 34010227. The reversal of 34010224 is 42201043.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 34010198 and 34010207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 94557 + ... + 94915.

It is an arithmetic number, because the mean of its divisors is an integer number (1714176).

Almost surely, 234010224 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 34010224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34283520).

34010224 is an abundant number, since it is smaller than the sum of its proper divisors (34556816).

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

34010224 is a wasteful number, since it uses less digits than its factorization.

34010224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34010224 is about 5831.8285297152. The cubic root of 34010224 is about 323.9936492176.

Adding to 34010224 its reverse (42201043), we get a palindrome (76211267).

The spelling of 34010224 in words is "thirty-four million, ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 191 248 359 382 496 718 764 1436 1528 2872 3056 5744 5921 11129 11842 22258 23684 44516 47368 68569 89032 94736 137138 178064 274276 548552 1097104 2125639 4251278 8502556 17005112 34010224