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383760132 = 223729263599
BaseRepresentation
bin10110110111111…
…011011100000100
3222202010000221020
4112313323130010
51241220311012
6102025151140
712336623130
oct2667733404
9882100836
10383760132
11187693738
12a862b4b0
1361676802
1438d783c0
1523a56a8c
hex16dfb704

383760132 has 96 divisors (see below), whose sum is σ = 1064448000. Its totient is φ = 105286272.

The previous prime is 383760107. The next prime is 383760151. The reversal of 383760132 is 231067383.

It is a junction number, because it is equal to n+sod(n) for n = 383760093 and 383760102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 640369 + ... + 640967.

It is an arithmetic number, because the mean of its divisors is an integer number (11088000).

Almost surely, 2383760132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383760132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224000).

383760132 is an abundant number, since it is smaller than the sum of its proper divisors (680687868).

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

383760132 is a wasteful number, since it uses less digits than its factorization.

383760132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 383760132 is about 19589.7966298785. The cubic root of 383760132 is about 726.6968621780.

The spelling of 383760132 in words is "three hundred eighty-three million, seven hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 263 348 406 526 599 609 789 812 1052 1198 1218 1578 1797 1841 2396 2436 3156 3594 3682 4193 5523 7188 7364 7627 8386 11046 12579 15254 16772 17371 22092 22881 25158 30508 34742 45762 50316 52113 53389 69484 91524 104226 106778 121597 157537 160167 208452 213556 243194 315074 320334 364791 472611 486388 630148 640668 729582 945222 1102759 1459164 1890444 2205518 3308277 4411036 4568573 6616554 9137146 13233108 13705719 18274292 27411438 31980011 54822876 63960022 95940033 127920044 191880066 383760132