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1383244464 = 24374439293
BaseRepresentation
bin101001001110010…
…1010001010110000
310120101211002200110
41102130222022300
510313102310324
6345131421320
746164245460
oct12234521260
93511732613
101383244464
1164a895048
123272b4840
13190763064
14d19cdba0
1581685329
hex5272a2b0

1383244464 has 80 divisors (see below), whose sum is σ = 4093523712. Its totient is φ = 394278144.

The previous prime is 1383244411. The next prime is 1383244469. The reversal of 1383244464 is 4644423831.

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 (1383244469) by changing a digit.

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, 144202 + ... + 153494.

Almost surely, 21383244464 is an apocalyptic number.

1383244464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383244464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046761856).

1383244464 is an abundant number, since it is smaller than the sum of its proper divisors (2710279248).

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

1383244464 is a wasteful number, since it uses less digits than its factorization.

1383244464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9748 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 1383244464 is about 37191.9946224991. The cubic root of 1383244464 is about 1114.2081057623.

The spelling of 1383244464 in words is "one billion, three hundred eighty-three million, two hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 443 886 1329 1772 2658 3101 3544 5316 6202 7088 9293 9303 10632 12404 18586 18606 21264 24808 27879 37172 37212 49616 55758 65051 74344 74424 111516 130102 148688 148848 195153 223032 260204 390306 446064 520408 780612 1040816 1561224 3122448 4116799 8233598 12350397 16467196 24700794 28817593 32934392 49401588 57635186 65868784 86452779 98803176 115270372 172905558 197606352 230540744 345811116 461081488 691622232 1383244464