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3144022440 = 2335138272437
BaseRepresentation
bin1011101101100101…
…1111100110101000
322010010000212222120
42323121133212220
522414332204230
61235551151240
7140624515116
oct27331374650
98103025876
103144022440
11137379a659
12738b15520
133b149c710
1421b7b6ab6
15136042310
hexbb65f9a8

3144022440 has 128 divisors (see below), whose sum is σ = 10174066560. Its totient is φ = 772660224.

The previous prime is 3144022439. The next prime is 3144022459. The reversal of 3144022440 is 442204413.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3144022440.

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 31 ways as a sum of consecutive naturals, for example, 1288902 + ... + 1291338.

It is an arithmetic number, because the mean of its divisors is an integer number (79484895).

Almost surely, 23144022440 is an apocalyptic number.

3144022440 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 3144022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087033280).

3144022440 is an abundant number, since it is smaller than the sum of its proper divisors (7030044120).

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

3144022440 is a wasteful number, since it uses less digits than its factorization.

3144022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3144022440 is about 56071.5831772209. The cubic root of 3144022440 is about 1464.9693742700.

Adding to 3144022440 its reverse (442204413), we get a palindrome (3586226853).

The spelling of 3144022440 in words is "three billion, one hundred forty-four million, twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 827 1560 1654 2437 2481 3308 4135 4874 4962 6616 7311 8270 9748 9924 10751 12185 12405 14622 16540 19496 19848 21502 24370 24810 29244 31681 32253 33080 36555 43004 48740 49620 53755 58488 63362 64506 73110 86008 95043 97480 99240 107510 126724 129012 146220 158405 161265 190086 215020 253448 258024 292440 316810 322530 380172 430040 475215 633620 645060 760344 950430 1267240 1290120 1900860 2015399 3801720 4030798 6046197 8061596 10076995 12092394 16123192 20153990 24184788 26200187 30230985 40307980 48369576 52400374 60461970 78600561 80615960 104800748 120923940 131000935 157201122 209601496 241847880 262001870 314402244 393002805 524003740 628804488 786005610 1048007480 1572011220 3144022440