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3144421320 = 2335173741659
BaseRepresentation
bin1011101101101100…
…0000111111001000
322010010210011010220
42323123000333020
522414432440240
61240003510040
7140631066045
oct27333007710
98103704126
103144421320
111373a42307
12739088320
133b15ac141
1421b87c1cc
151360c05d0
hexbb6c0fc8

3144421320 has 128 divisors (see below), whose sum is σ = 10258358400. Its totient is φ = 767840256.

The previous prime is 3144421297. The next prime is 3144421331. The reversal of 3144421320 is 231244413.

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

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 31 ways as a sum of consecutive naturals, for example, 54651 + ... + 96309.

It is an arithmetic number, because the mean of its divisors is an integer number (80143425).

Almost surely, 23144421320 is an apocalyptic number.

3144421320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129179200).

3144421320 is an abundant number, since it is smaller than the sum of its proper divisors (7113937080).

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

3144421320 is a wasteful number, since it uses less digits than its factorization.

3144421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41727 (or 41723 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3144421320 is about 56075.1399463256. The cubic root of 3144421320 is about 1465.0313248747.

Adding to 3144421320 its reverse (231244413), we get a palindrome (3375665733).

The spelling of 3144421320 in words is "three billion, one hundred forty-four million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1887 2040 2220 2516 3145 3774 4440 5032 6290 7548 9435 12580 15096 18870 25160 37740 41659 75480 83318 124977 166636 208295 249954 333272 416590 499908 624885 708203 833180 999816 1249770 1416406 1541383 1666360 2124609 2499540 2832812 3082766 3541015 4249218 4624149 4999080 5665624 6165532 7082030 7706915 8498436 9248298 10623045 12331064 14164060 15413830 16996872 18496596 21246090 23120745 26203511 28328120 30827660 36993192 42492180 46241490 52407022 61655320 78610533 84984360 92482980 104814044 131017555 157221066 184965960 209628088 262035110 314442132 393052665 524070220 628884264 786105330 1048140440 1572210660 3144421320