Search a number
-
+
480378312 = 23326671921
BaseRepresentation
bin11100101000011…
…111110111001000
31020110220202011100
4130220133313020
51440434101222
6115400101400
714622101601
oct3450376710
91213822140
10480378312
11227185377
12114a64860
13786a4c2b
1447b28da8
152c28e4ac
hex1ca1fdc8

480378312 has 24 divisors (see below), whose sum is σ = 1301024790. Its totient is φ = 160126080.

The previous prime is 480378293. The next prime is 480378329. The reversal of 480378312 is 213873084.

It can be written as a sum of positive squares in only one way, i.e., 377680356 + 102697956 = 19434^2 + 10134^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3335889 + ... + 3336032.

Almost surely, 2480378312 is an apocalyptic number.

It is an amenable number.

480378312 is an abundant number, since it is smaller than the sum of its proper divisors (820646478).

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

480378312 is a wasteful number, since it uses less digits than its factorization.

480378312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671933 (or 6671926 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480378312 is about 21917.5343503780. The cubic root of 480378312 is about 783.1791744120.

It can be divided in two parts, 480378 and 312, that added together give a triangular number (480690 = T980).

The spelling of 480378312 in words is "four hundred eighty million, three hundred seventy-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6671921 13343842 20015763 26687684 40031526 53375368 60047289 80063052 120094578 160126104 240189156 480378312