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1356144 = 243191487
BaseRepresentation
bin101001011000101110000
32112220021120
411023011300
5321344034
645022240
714345526
oct5130560
92486246
101356144
11846989
12554980
1338636a
14274316
151bbc49
hex14b170

1356144 has 40 divisors (see below), whose sum is σ = 3690240. Its totient is φ = 427968.

The previous prime is 1356143. The next prime is 1356151. The reversal of 1356144 is 4416531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169 + ... + 1655.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

21356144 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 1356144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845120).

1356144 is an abundant number, since it is smaller than the sum of its proper divisors (2334096).

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

1356144 is a wasteful number, since it uses less digits than its factorization.

1356144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 1356144 is about 1164.5359590841. The cubic root of 1356144 is about 110.6883556142.

The spelling of 1356144 in words is "one million, three hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1487 2974 4461 5948 8922 11896 17844 23792 28253 35688 56506 71376 84759 113012 169518 226024 339036 452048 678072 1356144