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1072344 = 233713491
BaseRepresentation
bin100000101110011011000
32000110222110
410011303120
5233303334
634552320
712054240
oct4056330
92013873
101072344
11672739
124386a0
132b7130
141dcb20
15162ae9
hex105cd8

1072344 has 64 divisors (see below), whose sum is σ = 3306240. Its totient is φ = 282240.

The previous prime is 1072339. The next prime is 1072363. The reversal of 1072344 is 4432701.

It is a super-4 number, since 4×10723444 (a number of 25 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1072344.

It is a congruent number.

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, 1939 + ... + 2429.

It is an arithmetic number, because the mean of its divisors is an integer number (51660).

21072344 is an apocalyptic number.

1072344 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 1072344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653120).

1072344 is an abundant number, since it is smaller than the sum of its proper divisors (2233896).

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

1072344 is a wasteful number, since it uses less digits than its factorization.

1072344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1072344 is about 1035.5404386116. The cubic root of 1072344 is about 102.3555450753.

The spelling of 1072344 in words is "one million, seventy-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 491 546 728 982 1092 1473 1964 2184 2946 3437 3928 5892 6383 6874 10311 11784 12766 13748 19149 20622 25532 27496 38298 41244 44681 51064 76596 82488 89362 134043 153192 178724 268086 357448 536172 1072344