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BaseRepresentation
bin1011101000001100000
3201100200000
41131001200
544143044
612100000
73144600
oct1350140
9640600
10381024
112402a6
12164600
13104577
149cc00
1577d69
hex5d060

381024 has 108 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 108864.

The previous prime is 381019. The next prime is 381037. The reversal of 381024 is 420183.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 380988 and 381006.

It is a congruent number.

It is an unprimeable number.

381024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 54429 + ... + 54435.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2381024 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 381024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562).

381024 is an abundant number, since it is smaller than the sum of its proper divisors (926100).

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

381024 is an equidigital number, since it uses as much as digits as its factorization.

381024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 381024 is about 617.2714151814. The cubic root of 381024 is about 72.4965674158.

The spelling of 381024 in words is "three hundred eighty-one thousand, twenty-four".