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1329384 = 233741193
BaseRepresentation
bin101000100100011101000
32111112120110
411010203220
5320020014
644254320
714204520
oct5044350
92445513
101329384
11828871
125413a0
13377124
14268680
151b3d59
hex1448e8

1329384 has 64 divisors (see below), whose sum is σ = 3911040. Its totient is φ = 368640.

The previous prime is 1329379. The next prime is 1329397. The reversal of 1329384 is 4839231.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6792 + ... + 6984.

It is an arithmetic number, because the mean of its divisors is an integer number (61110).

21329384 is an apocalyptic number.

1329384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955520).

1329384 is an abundant number, since it is smaller than the sum of its proper divisors (2581656).

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

1329384 is a wasteful number, since it uses less digits than its factorization.

1329384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 1329384 is about 1152.9891586654. The cubic root of 1329384 is about 109.9554640647.

The spelling of 1329384 in words is "one million, three hundred twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 193 246 287 328 386 492 574 579 772 861 984 1148 1158 1351 1544 1722 2296 2316 2702 3444 4053 4632 5404 6888 7913 8106 10808 15826 16212 23739 31652 32424 47478 55391 63304 94956 110782 166173 189912 221564 332346 443128 664692 1329384