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1346016 = 25372003
BaseRepresentation
bin101001000100111100000
32112101101110
411020213200
5321033031
644503320
714304150
oct5104740
92471343
101346016
1183a311
1254ab40
13381879
14270760
151b8c46
hex1489e0

1346016 has 48 divisors (see below), whose sum is σ = 4040064. Its totient is φ = 384384.

The previous prime is 1346003. The next prime is 1346021. The reversal of 1346016 is 6106431.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1345983 and 1346001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (84168).

21346016 is an apocalyptic number.

1346016 is a gapful number since it is divisible by the number (16) 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 1346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020032).

1346016 is an abundant number, since it is smaller than the sum of its proper divisors (2694048).

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

1346016 is a wasteful number, since it uses less digits than its factorization.

1346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1346016 is about 1160.1792964883. The cubic root of 1346016 is about 110.4121179725.

The spelling of 1346016 in words is "one million, three hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2003 4006 6009 8012 12018 14021 16024 24036 28042 32048 42063 48072 56084 64096 84126 96144 112168 168252 192288 224336 336504 448672 673008 1346016