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3220334304 = 253113139743
BaseRepresentation
bin1011111111110010…
…0110011011100000
322022102121221011220
42333330212123200
523043401144204
61251314535040
7142542250515
oct27774463340
98272557156
103220334304
111402881910
1275a597480
133c423b175
1422799d30c
1513cab81d9
hexbff266e0

3220334304 has 96 divisors (see below), whose sum is σ = 9252278784. Its totient is φ = 972641280.

The previous prime is 3220334269. The next prime is 3220334311. The reversal of 3220334304 is 4034330223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325657 + ... + 335399.

It is an arithmetic number, because the mean of its divisors is an integer number (96377904).

Almost surely, 23220334304 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 3220334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626139392).

3220334304 is an abundant number, since it is smaller than the sum of its proper divisors (6031944480).

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

3220334304 is a wasteful number, since it uses less digits than its factorization.

3220334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3220334304 is about 56747.9894269392. The cubic root of 3220334304 is about 1476.7273535575.

Adding to 3220334304 its reverse (4034330223), we get a palindrome (7254664527).

The spelling of 3220334304 in words is "three billion, two hundred twenty million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 313 352 528 626 939 1056 1252 1878 2504 3443 3756 5008 6886 7512 9743 10016 10329 13772 15024 19486 20658 27544 29229 30048 38972 41316 55088 58458 77944 82632 107173 110176 116916 155888 165264 214346 233832 311776 321519 330528 428692 467664 643038 857384 935328 1286076 1714768 2572152 3049559 3429536 5144304 6099118 9148677 10288608 12198236 18297354 24396472 33545149 36594708 48792944 67090298 73189416 97585888 100635447 134180596 146378832 201270894 268361192 292757664 402541788 536722384 805083576 1073444768 1610167152 3220334304