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374325 = 35272331
BaseRepresentation
bin1011011011000110101
3201000110220
41123120311
543434300
612004553
73116220
oct1333065
9630426
10374325
11236266
12160759
131014c3
149a5b7
1575da0
hex5b635

374325 has 48 divisors (see below), whose sum is σ = 761856. Its totient is φ = 158400.

The previous prime is 374321. The next prime is 374333. The reversal of 374325 is 523473.

It is not a de Polignac number, because 374325 - 22 = 374321 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 374295 and 374304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374321) 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 47 ways as a sum of consecutive naturals, for example, 12060 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (15872).

2374325 is an apocalyptic number.

374325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

374325 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

374325 is a wasteful number, since it uses less digits than its factorization.

374325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 374325 is about 611.8210522694. The cubic root of 374325 is about 72.0691850418.

Adding to 374325 its reverse (523473), we get a palindrome (897798).

The spelling of 374325 in words is "three hundred seventy-four thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 31 35 69 75 93 105 115 155 161 175 217 345 465 483 525 575 651 713 775 805 1085 1725 2139 2325 2415 3255 3565 4025 4991 5425 10695 12075 14973 16275 17825 24955 53475 74865 124775 374325