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381432 = 23323691
BaseRepresentation
bin1011101000111111000
3201101020010
41131013320
544201212
612101520
73146022
oct1350770
9641203
10381432
11240637
121648a0
131047cc
149d012
157803c
hex5d1f8

381432 has 32 divisors (see below), whose sum is σ = 996480. Its totient is φ = 121440.

The previous prime is 381419. The next prime is 381439. The reversal of 381432 is 234183.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 381399 and 381408.

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 381432.

It is not an unprimeable number, because it can be changed into a prime (381439) 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 7 ways as a sum of consecutive naturals, for example, 207 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (31140).

2381432 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 381432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498240).

381432 is an abundant number, since it is smaller than the sum of its proper divisors (615048).

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

381432 is a wasteful number, since it uses less digits than its factorization.

381432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 719 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 381432 is about 617.6018134688. The cubic root of 381432 is about 72.5224345949.

The spelling of 381432 in words is "three hundred eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 691 1382 2073 2764 4146 5528 8292 15893 16584 31786 47679 63572 95358 127144 190716 381432