Search a number
-
+
380143764 = 22327211213137
BaseRepresentation
bin10110101010001…
…000100010010100
3222111022022012200
4112222020202110
51234304100024
6101415444500
712264111600
oct2652104224
9874268180
10380143764
11185643700
12a7386730
13609ab750
14386b6500
15235902c9
hex16a88894

380143764 has 324 divisors, whose sum is σ = 1332830772. Its totient is φ = 90478080.

The previous prime is 380143741. The next prime is 380143769. The reversal of 380143764 is 467341083.

It can be written as a sum of positive squares in 2 ways, for example, as 133402500 + 246741264 = 11550^2 + 15708^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380143769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2774704 + ... + 2774840.

Almost surely, 2380143764 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 380143764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666415386).

380143764 is an abundant number, since it is smaller than the sum of its proper divisors (952687008).

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

380143764 is a wasteful number, since it uses less digits than its factorization.

380143764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 380143764 is about 19497.2758097125. The cubic root of 380143764 is about 724.4069753839.

The spelling of 380143764 in words is "three hundred eighty million, one hundred forty-three thousand, seven hundred sixty-four".