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3420443344 = 242359263599
BaseRepresentation
bin1100101111011111…
…1101001011010000
322211101011112011211
43023313331023100
524001113141334
61323223545504
7150522201013
oct31367751320
98741145154
103420443344
1114a582978a
127b55bb294
13426832c96
142463ad37a
15150444a64
hexcbdfd2d0

3420443344 has 80 divisors (see below), whose sum is σ = 7070976000. Its totient is φ = 1599348608.

The previous prime is 3420443339. The next prime is 3420443347. The reversal of 3420443344 is 4433440243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420443347) by changing a digit.

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, 5709957 + ... + 5710555.

It is an arithmetic number, because the mean of its divisors is an integer number (88387200).

Almost surely, 23420443344 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 3420443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488000).

3420443344 is an abundant number, since it is smaller than the sum of its proper divisors (3650532656).

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

3420443344 is a wasteful number, since it uses less digits than its factorization.

3420443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

The square root of 3420443344 is about 58484.5564572392. The cubic root of 3420443344 is about 1506.7023549469.

Adding to 3420443344 its reverse (4433440243), we get a palindrome (7853883587).

The spelling of 3420443344 in words is "three billion, four hundred twenty million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 263 368 472 526 599 944 1052 1198 1357 2104 2396 2714 4208 4792 5428 6049 9584 10856 12098 13777 15517 21712 24196 27554 31034 35341 48392 55108 62068 70682 96784 110216 124136 141364 157537 220432 248272 282728 315074 356891 565456 630148 713782 812843 1260296 1427564 1625686 2520592 2855128 3251372 3623351 5710256 6502744 7246702 9294683 13005488 14493404 18589366 28986808 37178732 57973616 74357464 148714928 213777709 427555418 855110836 1710221672 3420443344