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3144300240 = 243531422621
BaseRepresentation
bin1011101101101010…
…0011011011010000
322010010120000001110
42323122203123100
522414420101430
61240001133320
7140630053044
oct27332433320
98103500043
103144300240
11137396a344
1273902a240
133b1568cb3
1421b84a024
151360997b0
hexbb6a36d0

3144300240 has 80 divisors (see below), whose sum is σ = 10061784576. Its totient is φ = 811430400.

The previous prime is 3144300233. The next prime is 3144300241. The reversal of 3144300240 is 420034413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144300241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 203871 + ... + 218750.

Almost surely, 23144300240 is an apocalyptic number.

3144300240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144300240 is an abundant number, since it is smaller than the sum of its proper divisors (6917484336).

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

3144300240 is a wasteful number, since it uses less digits than its factorization.

3144300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422668 (or 422662 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3144300240 is about 56074.0603131252. The cubic root of 3144300240 is about 1465.0125203262.

Adding to 3144300240 its reverse (420034413), we get a palindrome (3564334653).

The spelling of 3144300240 in words is "three billion, one hundred forty-four million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 422621 845242 1267863 1690484 2113105 2535726 3380968 4226210 5071452 6339315 6761936 8452420 10142904 12678630 13101251 16904840 20285808 25357260 26202502 33809680 39303753 50714520 52405004 65506255 78607506 101429040 104810008 131012510 157215012 196518765 209620016 262025020 314430024 393037530 524050040 628860048 786075060 1048100080 1572150120 3144300240