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1074384 = 2434829
BaseRepresentation
bin100000110010011010000
32000120210000
410012103100
5233340014
635010000
712063213
oct4062320
92016700
101074384
11674223
12439900
132b803c
141dd77a
15163509
hex1064d0

1074384 has 50 divisors (see below), whose sum is σ = 3113330. Its totient is φ = 357696.

The previous prime is 1074379. The next prime is 1074389. The reversal of 1074384 is 4834701.

It is an interprime number because it is at equal distance from previous prime (1074379) and next prime (1074389).

It can be written as a sum of positive squares in only one way, i.e., 944784 + 129600 = 972^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074389) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 882 + ... + 1710.

21074384 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 1074384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556665).

1074384 is an abundant number, since it is smaller than the sum of its proper divisors (2038946).

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

1074384 is an equidigital number, since it uses as much as digits as its factorization.

1074384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1074384 is about 1036.5249635199. The cubic root of 1074384 is about 102.4204101569.

The spelling of 1074384 in words is "one million, seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 829 1296 1658 2487 3316 4974 6632 7461 9948 13264 14922 19896 22383 29844 39792 44766 59688 67149 89532 119376 134298 179064 268596 358128 537192 1074384