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1344896 = 2771979
BaseRepresentation
bin101001000010110000000
32112022211222
411020112000
5321014041
644454212
714300660
oct5102600
92468758
101344896
11839493
1254a368
133811c7
142701a0
151b874b
hex148580

1344896 has 64 divisors (see below), whose sum is σ = 3264000. Its totient is φ = 539136.

The previous prime is 1344869. The next prime is 1344899. The reversal of 1344896 is 6984431.

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344899) 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, 16985 + ... + 17063.

It is an arithmetic number, because the mean of its divisors is an integer number (51000).

21344896 is an apocalyptic number.

1344896 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 1344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632000).

1344896 is an abundant number, since it is smaller than the sum of its proper divisors (1919104).

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

1344896 is an equidigital number, since it uses as much as digits as its factorization.

1344896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 1344896 is about 1159.6965120237. The cubic root of 1344896 is about 110.3814853780.

The spelling of 1344896 in words is "one million, three hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 79 112 128 133 152 158 224 266 304 316 448 532 553 608 632 896 1064 1106 1216 1264 1501 2128 2212 2432 2528 3002 4256 4424 5056 6004 8512 8848 10112 10507 12008 17024 17696 21014 24016 35392 42028 48032 70784 84056 96064 168112 192128 336224 672448 1344896