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34254324 = 223213531381
BaseRepresentation
bin1000001010101…
…0110111110100
32101110022002200
42002222313310
532232114244
63222104500
7564104556
oct202526764
971408080
1034254324
1118376865
12b57b130
137134540
1447994d6
153019669
hex20aadf4

34254324 has 72 divisors (see below), whose sum is σ = 95076072. Its totient is φ = 10333440.

The previous prime is 34254299. The next prime is 34254329. The reversal of 34254324 is 42345243.

34254324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 31472100 = 1668^2 + 5610^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34254329) 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 23 ways as a sum of consecutive naturals, for example, 24114 + ... + 25494.

It is an arithmetic number, because the mean of its divisors is an integer number (1320501).

Almost surely, 234254324 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 34254324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47538036).

34254324 is an abundant number, since it is smaller than the sum of its proper divisors (60821748).

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

34254324 is a wasteful number, since it uses less digits than its factorization.

34254324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1452 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 34254324 is about 5852.7193679520. The cubic root of 34254324 is about 324.7669303329.

Adding to 34254324 its reverse (42345243), we get a palindrome (76599567).

The spelling of 34254324 in words is "thirty-four million, two hundred fifty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1381 1908 2067 2756 2762 4134 4143 5524 6201 8268 8286 12402 12429 16572 17953 24804 24858 35906 49716 53859 71812 73193 107718 146386 161577 215436 219579 292772 323154 439158 646308 658737 878316 951509 1317474 1903018 2634948 2854527 3806036 5709054 8563581 11418108 17127162 34254324