Search a number
-
+
378750 = 2354101
BaseRepresentation
bin1011100011101111110
3201020112210
41130131332
544110000
612041250
73135141
oct1343576
9636483
10378750
11239619
12163226
13103518
149c058
1577350
hex5c77e

378750 has 40 divisors (see below), whose sum is σ = 955944. Its totient is φ = 100000.

The previous prime is 378739. The next prime is 378757. The reversal of 378750 is 57873.

378750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

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 378750.

It is not an unprimeable number, because it can be changed into a prime (378757) by changing a digit.

378750 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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3700 + ... + 3800.

378750 is a Friedman number, since it can be written as 750*(8^3-7), using all its digits and the basic arithmetic operations.

2378750 is an apocalyptic number.

378750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477972).

378750 is an abundant number, since it is smaller than the sum of its proper divisors (577194).

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

378750 is a wasteful number, since it uses less digits than its factorization.

378750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 378750 is about 615.4266812546. The cubic root of 378750 is about 72.3520566159.

It can be divided in two parts, 378 and 750, that added together give a triangular number (1128 = T47).

The spelling of 378750 in words is "three hundred seventy-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 125 150 202 250 303 375 505 606 625 750 1010 1250 1515 1875 2525 3030 3750 5050 7575 12625 15150 25250 37875 63125 75750 126250 189375 378750