Search a number
-
+
3220402304 = 277373351
BaseRepresentation
bin1011111111110011…
…0111000010000000
322022102202101110102
42333330313002000
523043410333204
61251320221532
7142542653000
oct27774670200
98272671412
103220402304
111402918a09
1275a60a8a8
133c42630c2
142279ba000
1513cacd41e
hexbff37080

3220402304 has 64 divisors (see below), whose sum is σ = 7481904000. Its totient is φ = 1380153600.

The previous prime is 3220402291. The next prime is 3220402313. The reversal of 3220402304 is 4032040223.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7229 + ... + 80579.

It is an arithmetic number, because the mean of its divisors is an integer number (116904750).

Almost surely, 23220402304 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 3220402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740952000).

3220402304 is an abundant number, since it is smaller than the sum of its proper divisors (4261501696).

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

3220402304 is an frugal number, since it uses more digits than its factorization.

3220402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73386 (or 73360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3220402304 is about 56748.5885639458. The cubic root of 3220402304 is about 1476.7377475875.

Adding to 3220402304 its reverse (4032040223), we get a palindrome (7252442527).

The spelling of 3220402304 in words is "three billion, two hundred twenty million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2744 3136 5488 6272 10976 21952 43904 73351 146702 293404 513457 586808 1026914 1173616 2053828 2347232 3594199 4107656 4694464 7188398 8215312 9388928 14376796 16430624 25159393 28753592 32861248 50318786 57507184 65722496 100637572 115014368 201275144 230028736 402550288 460057472 805100576 1610201152 3220402304