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3242000144 = 242382910627
BaseRepresentation
bin1100000100111100…
…1111111100010000
322100221101200010102
43001033033330100
523114423001034
61253411151532
7143224355315
oct30117177420
98327350112
103242000144
11141402a769
127658a55a8
133c88858a6
1422a7dcd0c
1513e94797e
hexc13cff10

3242000144 has 40 divisors (see below), whose sum is σ = 6563002560. Its totient is φ = 1548505728.

The previous prime is 3242000137. The next prime is 3242000159. The reversal of 3242000144 is 4410002423.

3242000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299759 + ... + 310385.

It is an arithmetic number, because the mean of its divisors is an integer number (164075064).

Almost surely, 23242000144 is an apocalyptic number.

It is an amenable number.

3242000144 is an abundant number, since it is smaller than the sum of its proper divisors (3321002416).

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

3242000144 is a wasteful number, since it uses less digits than its factorization.

3242000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11487 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3242000144 is about 56938.5646464679. The cubic root of 3242000144 is about 1480.0316745108.

Adding to 3242000144 its reverse (4410002423), we get a palindrome (7652002567).

The spelling of 3242000144 in words is "three billion, two hundred forty-two million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 23 46 92 184 368 829 1658 3316 6632 10627 13264 19067 21254 38134 42508 76268 85016 152536 170032 244421 305072 488842 977684 1955368 3910736 8809783 17619566 35239132 70478264 140956528 202625009 405250018 810500036 1621000072 3242000144