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1343549856 = 253113114091
BaseRepresentation
bin101000000010100…
…1111000110100000
310110122010101220210
41100011033012200
510222422043411
6341152534120
745202661655
oct12005170640
93418111823
101343549856
1162a442990
12315b51340
1318547551c
14ca619c2c
157ce43ca6
hex5014f1a0

1343549856 has 96 divisors (see below), whose sum is σ = 3860752896. Its totient is φ = 405728000.

The previous prime is 1343549839. The next prime is 1343549863. The reversal of 1343549856 is 6589453431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326371 + ... + 330461.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176).

Almost surely, 21343549856 is an apocalyptic number.

1343549856 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 1343549856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930376448).

1343549856 is an abundant number, since it is smaller than the sum of its proper divisors (2517203040).

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

1343549856 is a wasteful number, since it uses less digits than its factorization.

1343549856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4418 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 1343549856 is about 36654.4657033764. The cubic root of 1343549856 is about 1103.4464511238.

The spelling of 1343549856 in words is "one billion, three hundred forty-three million, five hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 311 352 528 622 933 1056 1244 1866 2488 3421 3732 4091 4976 6842 7464 8182 9952 10263 12273 13684 14928 16364 20526 24546 27368 29856 32728 41052 45001 49092 54736 65456 82104 90002 98184 109472 130912 135003 164208 180004 196368 270006 328416 360008 392736 540012 720016 1080024 1272301 1440032 2160048 2544602 3816903 4320096 5089204 7633806 10178408 13995311 15267612 20356816 27990622 30535224 40713632 41985933 55981244 61070448 83971866 111962488 122140896 167943732 223924976 335887464 447849952 671774928 1343549856