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378108 = 2235389
BaseRepresentation
bin1011100010011111100
3201012200000
41130103330
544044413
612034300
73133233
oct1342374
9635600
10378108
11239095
12162990
13103143
149bb1a
1577073
hex5c4fc

378108 has 36 divisors (see below), whose sum is σ = 993720. Its totient is φ = 125712.

The previous prime is 378101. The next prime is 378127. The reversal of 378108 is 801873.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378101) by changing a digit.

378108 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 778 + ... + 1166.

2378108 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 378108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496860).

378108 is an abundant number, since it is smaller than the sum of its proper divisors (615612).

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

378108 is a wasteful number, since it uses less digits than its factorization.

378108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 378108 is about 614.9048706914. The cubic root of 378108 is about 72.3111533903.

The spelling of 378108 in words is "three hundred seventy-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 389 486 778 972 1167 1556 2334 3501 4668 7002 10503 14004 21006 31509 42012 63018 94527 126036 189054 378108