Search a number
-
+
343334040 = 233571724043
BaseRepresentation
bin10100011101101…
…101110010011000
3212221001011202120
4110131231302120
51200343142130
654022501240
711336201610
oct2435556230
9787034676
10343334040
11166891a45
1296b94820
135619104a
1433853a40
152021d910
hex1476dc98

343334040 has 128 divisors (see below), whose sum is σ = 1246440960. Its totient is φ = 73857024.

The previous prime is 343334027. The next prime is 343334071. The reversal of 343334040 is 40433343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 343334040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2259 + ... + 26301.

It is an arithmetic number, because the mean of its divisors is an integer number (9737820).

Almost surely, 2343334040 is an apocalyptic number.

343334040 is a gapful number since it is divisible by the number (30) 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 343334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623220480).

343334040 is an abundant number, since it is smaller than the sum of its proper divisors (903106920).

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

343334040 is a wasteful number, since it uses less digits than its factorization.

343334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24081 (or 24077 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 343334040 is about 18529.2752151831. The cubic root of 343334040 is about 700.2271643678.

Adding to 343334040 its reverse (40433343), we get a palindrome (383767383).

It can be divided in two parts, 3433 and 34040, that added together give a palindrome (37473).

The spelling of 343334040 in words is "three hundred forty-three million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 24043 48086 72129 96172 120215 144258 168301 192344 240430 288516 336602 360645 408731 480860 504903 577032 673204 721290 817462 841505 961720 1009806 1226193 1346408 1442580 1634924 1683010 2019612 2043655 2452386 2524515 2861117 2885160 3269848 3366020 4039224 4087310 4904772 5049030 5722234 6130965 6732040 8174620 8583351 9809544 10098060 11444468 12261930 14305585 16349240 17166702 20196120 22888936 24523860 28611170 34333404 42916755 49047720 57222340 68666808 85833510 114444680 171667020 343334040