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3423120144 = 243659108217
BaseRepresentation
bin1100110000001000…
…1010101100010000
322211120012112001120
43030002022230100
524002304321034
61323401202240
7150554020053
oct31402125420
98746175046
103423120144
1114a7297914
127b6490380
1342725c4a2
142468a8a9a
151507c2c49
hexcc08ab10

3423120144 has 40 divisors (see below), whose sum is σ = 8856561120. Its totient is φ = 1139298048.

The previous prime is 3423120143. The next prime is 3423120209. The reversal of 3423120144 is 4410213243.

It is a super-3 number, since 3×34231201443 (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3423120143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22477 + ... + 85740.

It is an arithmetic number, because the mean of its divisors is an integer number (221414028).

Almost surely, 23423120144 is an apocalyptic number.

It is an amenable number.

3423120144 is an abundant number, since it is smaller than the sum of its proper divisors (5433440976).

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

3423120144 is a wasteful number, since it uses less digits than its factorization.

3423120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108887 (or 108881 counting only the distinct ones).

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

The square root of 3423120144 is about 58507.4366555227. The cubic root of 3423120144 is about 1507.0952951614.

Adding to 3423120144 its reverse (4410213243), we get a palindrome (7833333387).

The spelling of 3423120144 in words is "three billion, four hundred twenty-three million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 659 1318 1977 2636 3954 5272 7908 10544 15816 31632 108217 216434 324651 432868 649302 865736 1298604 1731472 2597208 5194416 71315003 142630006 213945009 285260012 427890018 570520024 855780036 1141040048 1711560072 3423120144