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1344816 = 243311283
BaseRepresentation
bin101001000010100110000
32112022202000
411020110300
5321013231
644454000
714300514
oct5102460
92468660
101344816
11839420
1254a300
13381165
14270144
151b86e6
hex148530

1344816 has 80 divisors (see below), whose sum is σ = 4225920. Its totient is φ = 406080.

The previous prime is 1344799. The next prime is 1344821. The reversal of 1344816 is 6184431.

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 self number, because there is not a number n which added to its sum of digits gives 1344816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4611 + ... + 4893.

It is an arithmetic number, because the mean of its divisors is an integer number (52824).

21344816 is an apocalyptic number.

1344816 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 1344816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112960).

1344816 is an abundant number, since it is smaller than the sum of its proper divisors (2881104).

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

1344816 is a wasteful number, since it uses less digits than its factorization.

1344816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1344816 is about 1159.6620197282. The cubic root of 1344816 is about 110.3792966849.

It can be divided in two parts, 134 and 4816, that added together give a triangular number (4950 = T99).

The spelling of 1344816 in words is "one million, three hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 283 297 396 432 528 566 594 792 849 1132 1188 1584 1698 2264 2376 2547 3113 3396 4528 4752 5094 6226 6792 7641 9339 10188 12452 13584 15282 18678 20376 24904 28017 30564 37356 40752 49808 56034 61128 74712 84051 112068 122256 149424 168102 224136 336204 448272 672408 1344816