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2364423984 = 2432131263047
BaseRepresentation
bin1000110011101110…
…0011111100110000
320002210002011221200
42030323203330300
514320243031414
61030341451200
7112410162246
oct21473437460
96083064850
102364423984
11100372380a
1255ba10b00
132b8b10960
1418603c796
15dc89a109
hex8cee3f30

2364423984 has 60 divisors (see below), whose sum is σ = 7126116816. Its totient is φ = 727514496.

The previous prime is 2364423983. The next prime is 2364423991. The reversal of 2364423984 is 4893244632.

It is a super-2 number, since 2×23644239842 = 11181001552228864512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2364423983) 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 11 ways as a sum of consecutive naturals, for example, 629652 + ... + 633395.

Almost surely, 22364423984 is an apocalyptic number.

2364423984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2364423984 is an abundant number, since it is smaller than the sum of its proper divisors (4761692832).

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

2364423984 is a wasteful number, since it uses less digits than its factorization.

2364423984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263074 (or 1263065 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 2364423984 is about 48625.3430219263. The cubic root of 2364423984 is about 1332.2174522565.

The spelling of 2364423984 in words is "two billion, three hundred sixty-four million, four hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1263047 2526094 3789141 5052188 7578282 10104376 11367423 15156564 16419611 20208752 22734846 30313128 32839222 45469692 49258833 60626256 65678444 90939384 98517666 131356888 147776499 181878768 197035332 262713776 295552998 394070664 591105996 788141328 1182211992 2364423984