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1344096 = 253213359
BaseRepresentation
bin101001000001001100000
32112021202100
411020021200
5321002341
644450400
714265435
oct5101140
92467670
101344096
11838926
12549a00
13380a30
1426db8c
151b83b6
hex148260

1344096 has 72 divisors (see below), whose sum is σ = 4127760. Its totient is φ = 412416.

The previous prime is 1344073. The next prime is 1344113. The reversal of 1344096 is 6904431.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3565 + ... + 3923.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

21344096 is an apocalyptic number.

1344096 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 1344096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063880).

1344096 is an abundant number, since it is smaller than the sum of its proper divisors (2783664).

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

1344096 is a wasteful number, since it uses less digits than its factorization.

1344096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1344096 is about 1159.3515428894. The cubic root of 1344096 is about 110.3595945395.

The spelling of 1344096 in words is "one million, three hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 359 416 468 624 718 936 1077 1248 1436 1872 2154 2872 3231 3744 4308 4667 5744 6462 8616 9334 11488 12924 14001 17232 18668 25848 28002 34464 37336 42003 51696 56004 74672 84006 103392 112008 149344 168012 224016 336024 448032 672048 1344096