Search a number
-
+
380803176 = 2332132914029
BaseRepresentation
bin10110101100101…
…001100001101000
3222112112210202100
4112230221201220
51234441200201
6101441533400
712302526225
oct2654514150
9875483670
10380803176
11185a54076
12a7644260
1360b7c930
143880894c
1523670886
hex16b29868

380803176 has 96 divisors (see below), whose sum is σ = 1149057000. Its totient is φ = 113121792.

The previous prime is 380803151. The next prime is 380803193. The reversal of 380803176 is 671308083.

It can be written as a sum of positive squares in 4 ways, for example, as 150552900 + 230250276 = 12270^2 + 15174^2 .

It is a super-2 number, since 2×3808031762 = 290022117703373952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 380803176.

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 23 ways as a sum of consecutive naturals, for example, 20130 + ... + 34158.

Almost surely, 2380803176 is an apocalyptic number.

380803176 is a gapful number since it is divisible by the number (36) 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 380803176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574528500).

380803176 is an abundant number, since it is smaller than the sum of its proper divisors (768253824).

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

380803176 is a wasteful number, since it uses less digits than its factorization.

380803176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14083 (or 14076 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 380803176 is about 19514.1788451372. The cubic root of 380803176 is about 724.8255948303.

The spelling of 380803176 in words is "three hundred eighty million, eight hundred three thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 13572 14029 27144 28058 42087 56116 84174 112232 126261 168348 182377 252522 336696 364754 406841 505044 547131 729508 813682 1010088 1094262 1220523 1459016 1627364 1641393 2188524 2441046 3254728 3282786 3661569 4377048 4882092 5288933 6565572 7323138 9764184 10577866 13131144 14646276 15866799 21155732 29292552 31733598 42311464 47600397 63467196 95200794 126934392 190401588 380803176