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383964 = 22372653
BaseRepresentation
bin1011101101111011100
3201111200220
41131233130
544241324
612121340
73156300
oct1355734
9644626
10383964
11242529
12166250
131059c9
149dd00
1578b79
hex5dbdc

383964 has 36 divisors (see below), whose sum is σ = 1043784. Its totient is φ = 109536.

The previous prime is 383963. The next prime is 383969. The reversal of 383964 is 469383.

383964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (28994).

2383964 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 383964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521892).

383964 is an abundant number, since it is smaller than the sum of its proper divisors (659820).

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

383964 is a wasteful number, since it uses less digits than its factorization.

383964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 665 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 383964 is about 619.6482873373. The cubic root of 383964 is about 72.6825522416.

The spelling of 383964 in words is "three hundred eighty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 653 1306 1959 2612 3918 4571 7836 9142 13713 18284 27426 31997 54852 63994 95991 127988 191982 383964