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2401442328 = 2332343101173
BaseRepresentation
bin1000111100100011…
…0001101000011000
320012100201220120110
42033020301220120
514404232123303
61034143124320
7113336631405
oct21710615030
96170656513
102401442328
11102260818a
125702a36a0
132c36a22bc
1418ad172ac
15e0c5d703
hex8f231a18

2401442328 has 64 divisors (see below), whose sum is σ = 6410384640. Its totient is φ = 747863424.

The previous prime is 2401442261. The next prime is 2401442333. The reversal of 2401442328 is 8232441042.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2401442295 and 2401442304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26851 + ... + 74322.

It is an arithmetic number, because the mean of its divisors is an integer number (100162260).

Almost surely, 22401442328 is an apocalyptic number.

It is an amenable number.

2401442328 is an abundant number, since it is smaller than the sum of its proper divisors (4008942312).

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

2401442328 is a wasteful number, since it uses less digits than its factorization.

2401442328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101248 (or 101244 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2401442328 is about 49004.5133431605. The cubic root of 2401442328 is about 1339.1340525343.

The spelling of 2401442328 in words is "two billion, four hundred one million, four hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1978 2967 3956 5934 7912 11868 23736 101173 202346 303519 404692 607038 809384 1214076 2326979 2428152 4350439 4653958 6980937 8700878 9307916 13051317 13961874 17401756 18615832 26102634 27923748 34803512 52205268 55847496 100060097 104410536 200120194 300180291 400240388 600360582 800480776 1200721164 2401442328