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378396 = 223223457
BaseRepresentation
bin1011100011000011100
3201020001200
41130120130
544102041
612035500
73134124
oct1343034
9636050
10378396
11239327
12162b90
13103305
149bc84
15771b6
hex5c61c

378396 has 36 divisors (see below), whose sum is σ = 1000272. Its totient is φ = 120384.

The previous prime is 378379. The next prime is 378401. The reversal of 378396 is 693873.

It is a tau number, because it is divible by the number of its divisors (36).

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 378396.

It is a congruent number.

It is an unprimeable number.

378396 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 11 ways as a sum of consecutive naturals, for example, 600 + ... + 1056.

2378396 is an apocalyptic number.

378396 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 378396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500136).

378396 is an abundant number, since it is smaller than the sum of its proper divisors (621876).

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

378396 is a wasteful number, since it uses less digits than its factorization.

378396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 378396 is about 615.1390086802. The cubic root of 378396 is about 72.3295082227.

The spelling of 378396 in words is "three hundred seventy-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 457 828 914 1371 1828 2742 4113 5484 8226 10511 16452 21022 31533 42044 63066 94599 126132 189198 378396