Search a number
-
+
343255440 = 243511130021
BaseRepresentation
bin10100011101011…
…010100110010000
3212220220011221110
4110131122212100
51200333133230
654021053320
711335423503
oct2435324620
9786804843
10343255440
11166838990
1296b57240
1356164338
143383313a
15202054b0
hex1475a990

343255440 has 80 divisors (see below), whose sum is σ = 1160836416. Its totient is φ = 83212800.

The previous prime is 343255391. The next prime is 343255453. The reversal of 343255440 is 44552343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343255398 and 343255407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62371 + ... + 67650.

Almost surely, 2343255440 is an apocalyptic number.

343255440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343255440 is an abundant number, since it is smaller than the sum of its proper divisors (817580976).

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

343255440 is a wasteful number, since it uses less digits than its factorization.

343255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130048 (or 130042 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 343255440 is about 18527.1541257690. The cubic root of 343255440 is about 700.1737255888.

The spelling of 343255440 in words is "three hundred forty-three million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 130021 260042 390063 520084 650105 780126 1040168 1300210 1430231 1560252 1950315 2080336 2600420 2860462 3120504 3900630 4290693 5200840 5720924 6241008 7151155 7801260 8581386 10401680 11441848 14302310 15602520 17162772 21453465 22883696 28604620 31205040 34325544 42906930 57209240 68651088 85813860 114418480 171627720 343255440