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1344384 = 2733389
BaseRepresentation
bin101001000001110000000
32112022011000
411020032000
5321010014
644452000
714266326
oct5101600
92468130
101344384
11839068
1254a000
13380bc2
1426dd16
151b8509
hex148380

1344384 has 64 divisors (see below), whose sum is σ = 3978000. Its totient is φ = 446976.

The previous prime is 1344359. The next prime is 1344389. The reversal of 1344384 is 4834431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344389) 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, 3262 + ... + 3650.

21344384 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 1344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989000).

1344384 is an abundant number, since it is smaller than the sum of its proper divisors (2633616).

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

1344384 is an equidigital number, since it uses as much as digits as its factorization.

1344384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1344384 is about 1159.4757436014. The cubic root of 1344384 is about 110.3674762418.

It can be divided in two parts, 1344 and 384, that added together give a cube (1728 = 123).

The spelling of 1344384 in words is "one million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 389 432 576 778 864 1152 1167 1556 1728 2334 3112 3456 3501 4668 6224 7002 9336 10503 12448 14004 18672 21006 24896 28008 37344 42012 49792 56016 74688 84024 112032 149376 168048 224064 336096 448128 672192 1344384