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343331040 = 25351355021
BaseRepresentation
bin10100011101101…
…101000011100000
3212221001000122110
4110131231003200
51200343043130
654022435320
711336160063
oct2435550340
9787030573
10343331040
1116688a768
1296b92b40
135618c880
14338528da
152021cab0
hex1476d0e0

343331040 has 96 divisors (see below), whose sum is σ = 1164705696. Its totient is φ = 84510720.

The previous prime is 343331039. The next prime is 343331057. The reversal of 343331040 is 40133343.

343331040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 343330998 and 343331016.

It is a congruent number.

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, 21271 + ... + 33750.

It is an arithmetic number, because the mean of its divisors is an integer number (12132351).

Almost surely, 2343331040 is an apocalyptic number.

343331040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343331040 is an abundant number, since it is smaller than the sum of its proper divisors (821374656).

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

343331040 is a wasteful number, since it uses less digits than its factorization.

343331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55052 (or 55044 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 343331040 is about 18529.1942620288. The cubic root of 343331040 is about 700.2251248694.

Adding to 343331040 its reverse (40133343), we get a palindrome (383464383).

The spelling of 343331040 in words is "three hundred forty-three million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 55021 110042 165063 220084 275105 330126 440168 550210 660252 715273 825315 880336 1100420 1320504 1430546 1650630 1760672 2145819 2200840 2641008 2861092 3301260 3576365 4291638 4401680 5282016 5722184 6602520 7152730 8583276 8803360 10729095 11444368 13205040 14305460 17166552 21458190 22888736 26410080 28610920 34333104 42916380 57221840 68666208 85832760 114443680 171665520 343331040