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1385424 = 24341069
BaseRepresentation
bin101010010001111010000
32121101110000
411102033100
5323313144
645410000
714530065
oct5221720
92541400
101385424
11866987
12569900
133967a1
14280c6c
151c5769
hex1523d0

1385424 has 50 divisors (see below), whose sum is σ = 4013570. Its totient is φ = 461376.

The previous prime is 1385411. The next prime is 1385429. The reversal of 1385424 is 4245831.

It can be written as a sum of positive squares in only one way, i.e., 1166400 + 219024 = 1080^2 + 468^2 .

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 (1385429) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 762 + ... + 1830.

21385424 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 1385424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006785).

1385424 is an abundant number, since it is smaller than the sum of its proper divisors (2628146).

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

1385424 is a wasteful number, since it uses less digits than its factorization.

1385424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1074 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 1385424 is about 1177.0403561476. The cubic root of 1385424 is about 111.4793006546.

The spelling of 1385424 in words is "one million, three hundred eighty-five thousand, four hundred twenty-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 1069 1296 2138 3207 4276 6414 8552 9621 12828 17104 19242 25656 28863 38484 51312 57726 76968 86589 115452 153936 173178 230904 346356 461808 692712 1385424