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434012224 = 2641193857
BaseRepresentation
bin11001110111101…
…000000001000000
31010020200002211211
4121313220001000
51342101342344
6111022215504
713520020522
oct3167500100
91106602754
10434012224
11202a96898
12101424594
136bbbc889
14418d9a12
1528181334
hex19de8040

434012224 has 56 divisors (see below), whose sum is σ = 887854968. Its totient is φ = 210370560.

The previous prime is 434012221. The next prime is 434012239. The reversal of 434012224 is 422210434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22733824 + 411278400 = 4768^2 + 20280^2 .

It is a super-2 number, since 2×4340122242 = 376733221162852352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434012195 and 434012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434012221) 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, 506004 + ... + 506860.

It is an arithmetic number, because the mean of its divisors is an integer number (15854553).

Almost surely, 2434012224 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 434012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443927484).

434012224 is an abundant number, since it is smaller than the sum of its proper divisors (453842744).

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

434012224 is a wasteful number, since it uses less digits than its factorization.

434012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 434012224 is about 20832.9600393223. The cubic root of 434012224 is about 757.1245360499.

Adding to 434012224 its reverse (422210434), we get a palindrome (856222658).

It can be divided in two parts, 4 and 34012224, that multiplied together give a 4-th power (136048896 = 1084).

The spelling of 434012224 in words is "four hundred thirty-four million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 193 328 386 656 772 857 1312 1544 1714 2624 3088 3428 6176 6856 7913 12352 13712 15826 27424 31652 35137 54848 63304 70274 126608 140548 165401 253216 281096 330802 506432 562192 661604 1124384 1323208 2248768 2646416 5292832 6781441 10585664 13562882 27125764 54251528 108503056 217006112 434012224