Search a number
-
+
3224433344 = 261115729173
BaseRepresentation
bin1100000000110000…
…1111001011000000
322022201100012000012
43000030033023000
523100423331334
61251542444052
7142622142206
oct30014171300
98281305005
103224433344
111405121550
1275ba33628
133c5044b32
14228349076
1513d1279ce
hexc030f2c0

3224433344 has 56 divisors (see below), whose sum is σ = 7024865808. Its totient is φ = 1456266240.

The previous prime is 3224433307. The next prime is 3224433379. The reversal of 3224433344 is 4433344223.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3224433344.

It is an unprimeable number.

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, 95942 + ... + 125114.

Almost surely, 23224433344 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 3224433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512432904).

3224433344 is an abundant number, since it is smaller than the sum of its proper divisors (3800432464).

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

3224433344 is a wasteful number, since it uses less digits than its factorization.

3224433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29353 (or 29343 counting only the distinct ones).

The product of its digits is 82944, while the sum is 32.

The square root of 3224433344 is about 56784.0941109392. The cubic root of 3224433344 is about 1477.3536444386.

Adding to 3224433344 its reverse (4433344223), we get a palindrome (7657777567).

The spelling of 3224433344 in words is "three billion, two hundred twenty-four million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 157 176 314 352 628 704 1256 1727 2512 3454 5024 6908 10048 13816 27632 29173 55264 58346 110528 116692 233384 320903 466768 641806 933536 1283612 1867072 2567224 4580161 5134448 9160322 10268896 18320644 20537792 36641288 50381771 73282576 100763542 146565152 201527084 293130304 403054168 806108336 1612216672 3224433344