[go: up one dir, main page]

Search a number
-
+
3144420 = 22355647
BaseRepresentation
bin1011111111101011100100
312220202100000
423333223210
51301110140
6151221300
735504256
oct13775344
95822300
103144420
1118584a4
121077830
13861306
145bbcd6
15421a30
hex2ffae4

3144420 has 72 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 837216.

The previous prime is 3144419. The next prime is 3144431. The reversal of 3144420 is 244413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3144393 and 3144402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4537 + ... + 5183.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 23144420 is an apocalyptic number.

3144420 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 3144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3144420 is an abundant number, since it is smaller than the sum of its proper divisors (6762204).

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

3144420 is a wasteful number, since it uses less digits than its factorization.

3144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3144420 is about 1773.2512512332. The cubic root of 3144420 is about 146.5031119872.

Adding to 3144420 its reverse (244413), we get a palindrome (3388833).

The spelling of 3144420 in words is "three million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 647 810 972 1215 1294 1620 1941 2430 2588 3235 3882 4860 5823 6470 7764 9705 11646 12940 17469 19410 23292 29115 34938 38820 52407 58230 69876 87345 104814 116460 157221 174690 209628 262035 314442 349380 524070 628884 786105 1048140 1572210 3144420