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3220339644 = 2232317733733
BaseRepresentation
bin1011111111110010…
…0111101110111100
322022102122012111200
42333330213232330
523043401332034
61251315015500
7142542302214
oct27774475674
98272565450
103220339644
111402885925
1275a59a590
133c4240722
142279a1244
1513cab9a99
hexbff27bbc

3220339644 has 72 divisors (see below), whose sum is σ = 8416017792. Its totient is φ = 1037197440.

The previous prime is 3220339643. The next prime is 3220339649. The reversal of 3220339644 is 4469330223.

3220339644 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 3 + 3 + 9 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3220339599 and 3220339608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220339643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860802 + ... + 864534.

It is an arithmetic number, because the mean of its divisors is an integer number (116889136).

Almost surely, 23220339644 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 3220339644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208008896).

3220339644 is an abundant number, since it is smaller than the sum of its proper divisors (5195678148).

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

3220339644 is a wasteful number, since it uses less digits than its factorization.

3220339644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3220339644 is about 56748.0364770447. The cubic root of 3220339644 is about 1476.7281697999.

Adding to 3220339644 its reverse (4469330223), we get a palindrome (7689669867).

The spelling of 3220339644 in words is "three billion, two hundred twenty million, three hundred thirty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 773 1116 1546 2319 3092 3733 4638 6957 7466 9276 11199 13914 14932 22398 23963 27828 33597 44796 47926 67194 71889 95852 115723 134388 143778 215667 231446 287556 347169 431334 462892 694338 862668 1041507 1388676 2083014 2885609 4166028 5771218 8656827 11542436 17313654 25970481 34627308 51940962 89453879 103881924 178907758 268361637 357815516 536723274 805084911 1073446548 1610169822 3220339644