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375376 = 2429809
BaseRepresentation
bin1011011101001010000
3201001220211
41123221100
544003001
612013504
73122251
oct1335120
9631824
10375376
11237031
12161294
13101b21
149ab28
1576351
hex5ba50

375376 has 20 divisors (see below), whose sum is σ = 753300. Its totient is φ = 180992.

The previous prime is 375373. The next prime is 375391. The reversal of 375376 is 673573.

375376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 270400 + 104976 = 520^2 + 324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (37665).

2375376 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 375376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376650).

375376 is an abundant number, since it is smaller than the sum of its proper divisors (377924).

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

375376 is a wasteful number, since it uses less digits than its factorization.

375376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its digits is 13230, while the sum is 31.

The square root of 375376 is about 612.6793614934. The cubic root of 375376 is about 72.1365720574.

It can be divided in two parts, 3 and 75376, that multiplied together give a triangular number (226128 = T672).

The spelling of 375376 in words is "three hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 809 1618 3236 6472 12944 23461 46922 93844 187688 375376