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1383984 = 243271373
BaseRepresentation
bin101010001111000110000
32121022110200
411101320300
5323241414
645355200
714522640
oct5217060
92538420
101383984
11865898
12568b00
13395c34
14280520
151c5109
hex151e30

1383984 has 60 divisors (see below), whose sum is σ = 4429776. Its totient is φ = 395136.

The previous prime is 1383983. The next prime is 1384013. The reversal of 1383984 is 4893831.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (1383983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322 + ... + 1694.

21383984 is an apocalyptic number.

1383984 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 1383984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214888).

1383984 is an abundant number, since it is smaller than the sum of its proper divisors (3045792).

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

1383984 is a wasteful number, since it uses less digits than its factorization.

1383984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1385 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1383984 is about 1176.4284933646. The cubic root of 1383984 is about 111.4406636638.

The spelling of 1383984 in words is "one million, three hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1373 2746 4119 5492 8238 9611 10984 12357 16476 19222 21968 24714 28833 32952 38444 49428 57666 65904 76888 86499 98856 115332 153776 172998 197712 230664 345996 461328 691992 1383984