Search a number
-
+
378036 = 223210501
BaseRepresentation
bin1011100010010110100
3201012120100
41130102310
544044121
612034100
73133101
oct1342264
9635510
10378036
1123902a
12162930
131030b9
149baa8
1577026
hex5c4b4

378036 has 18 divisors (see below), whose sum is σ = 955682. Its totient is φ = 126000.

The previous prime is 378023. The next prime is 378041. The reversal of 378036 is 630873.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 86436 = 540^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3780362 = 285822434592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

378036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5215 + ... + 5286.

2378036 is an apocalyptic number.

378036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378036 is an abundant number, since it is smaller than the sum of its proper divisors (577646).

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

378036 is a wasteful number, since it uses less digits than its factorization.

378036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 378036 is about 614.8463222627. The cubic root of 378036 is about 72.3065632260.

The spelling of 378036 in words is "three hundred seventy-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 10501 21002 31503 42004 63006 94509 126012 189018 378036