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375040 = 285293
BaseRepresentation
bin1011011100100000000
3201001110101
41123210000
544000130
612012144
73121261
oct1334400
9631411
10375040
11236856
12161054
13101923
149a968
15761ca
hex5b900

375040 has 36 divisors (see below), whose sum is σ = 901404. Its totient is φ = 149504.

The previous prime is 375029. The next prime is 375043. The reversal of 375040 is 40573.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 112896 = 512^2 + 336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 374999 and 375017.

It is not an unprimeable number, because it can be changed into a prime (375043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1134 + ... + 1426.

It is an arithmetic number, because the mean of its divisors is an integer number (25039).

2375040 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 375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450702).

375040 is an abundant number, since it is smaller than the sum of its proper divisors (526364).

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

375040 is an equidigital number, since it uses as much as digits as its factorization.

375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 375040 is about 612.4050946881. The cubic root of 375040 is about 72.1150424234.

The spelling of 375040 in words is "three hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 293 320 586 640 1172 1280 1465 2344 2930 4688 5860 9376 11720 18752 23440 37504 46880 75008 93760 187520 375040