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380325 = 35211461
BaseRepresentation
bin1011100110110100101
3201022201010
41130312211
544132300
612052433
73142551
oct1346645
9638633
10380325
1123a820
12164119
1310415a
149c861
1577a50
hex5cda5

380325 has 24 divisors (see below), whose sum is σ = 687456. Its totient is φ = 184000.

The previous prime is 380311. The next prime is 380327. The reversal of 380325 is 523083.

380325 = 62 + 72 + ... + 1042.

It is not a de Polignac number, because 380325 - 24 = 380309 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 380325.

It is not an unprimeable number, because it can be changed into a prime (380327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 595 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2380325 is an apocalyptic number.

380325 is the 330-th nonagonal number.

It is an amenable number.

380325 is a deficient number, since it is larger than the sum of its proper divisors (307131).

380325 is a wasteful number, since it uses less digits than its factorization.

380325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 380325 is about 616.7049537664. The cubic root of 380325 is about 72.4522078998.

It can be divided in two parts, 3803 and 25, that added together give a triangular number (3828 = T87).

The spelling of 380325 in words is "three hundred eighty thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 461 825 1383 2305 5071 6915 11525 15213 25355 34575 76065 126775 380325