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378040 = 23513727
BaseRepresentation
bin1011100010010111000
3201012120111
41130102320
544044130
612034104
73133105
oct1342270
9635514
10378040
11239033
12162934
131030c0
149baac
157702a
hex5c4b8

378040 has 32 divisors (see below), whose sum is σ = 917280. Its totient is φ = 139392.

The previous prime is 378023. The next prime is 378041. The reversal of 378040 is 40873.

378040 = T117 + T118 + ... + T156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 883.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2378040 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 378040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

378040 is an abundant number, since it is smaller than the sum of its proper divisors (539240).

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

378040 is a wasteful number, since it uses less digits than its factorization.

378040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 378040 is about 614.8495750995. The cubic root of 378040 is about 72.3068182504.

The spelling of 378040 in words is "three hundred seventy-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 727 1454 2908 3635 5816 7270 9451 14540 18902 29080 37804 47255 75608 94510 189020 378040