Search a number
-
+
378012 = 223172109
BaseRepresentation
bin1011100010010011100
3201012112110
41130102130
544044022
612034020
73133035
oct1342234
9635473
10378012
11239008
12162910
1310309b
149ba8c
157700c
hex5c49c

378012 has 36 divisors (see below), whose sum is σ = 945560. Its totient is φ = 117504.

The previous prime is 378011. The next prime is 378019. The reversal of 378012 is 210873.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 378012.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378012.

It is not an unprimeable number, because it can be changed into a prime (378011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3414 + ... + 3522.

2378012 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 378012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472780).

378012 is an abundant number, since it is smaller than the sum of its proper divisors (567548).

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

378012 is a wasteful number, since it uses less digits than its factorization.

378012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 378012 is about 614.8268048809. The cubic root of 378012 is about 72.3050330417.

Adding to 378012 its reverse (210873), we get a palindrome (588885).

The spelling of 378012 in words is "three hundred seventy-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 204 218 289 327 436 578 654 867 1156 1308 1734 1853 3468 3706 5559 7412 11118 22236 31501 63002 94503 126004 189006 378012