Search a number
-
+
342110340 = 22325111313291
BaseRepresentation
bin10100011001000…
…011000010000100
3212211202000011100
4110121003002010
51200040012330
653540340100
711322614145
oct2431030204
9784660140
10342110340
11166126620
12966a4630
1355b53070
1433615acc
152007b060
hex14643084

342110340 has 144 divisors (see below), whose sum is σ = 1219248576. Its totient is φ = 76550400.

The previous prime is 342110323. The next prime is 342110347. The reversal of 342110340 is 43011243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342110347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19095 + ... + 32385.

It is an arithmetic number, because the mean of its divisors is an integer number (8467004).

Almost surely, 2342110340 is an apocalyptic number.

342110340 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 342110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609624288).

342110340 is an abundant number, since it is smaller than the sum of its proper divisors (877138236).

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

342110340 is a wasteful number, since it uses less digits than its factorization.

342110340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13330 (or 13325 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342110340 is about 18496.2250202575. The cubic root of 342110340 is about 699.3942651029.

Adding to 342110340 its reverse (43011243), we get a palindrome (385121583).

The spelling of 342110340 in words is "three hundred forty-two million, one hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 13291 25740 26582 39873 53164 66455 79746 119619 132910 146201 159492 172783 199365 239238 265820 292402 345566 398730 438603 478476 518349 584804 598095 691132 731005 797460 863915 877206 1036698 1196190 1315809 1462010 1555047 1727830 1754412 1900613 2073396 2193015 2392380 2591745 2631618 2924020 3110094 3455660 3801226 4386030 5183490 5263236 5701839 6220188 6579045 7602452 7775235 8772060 9503065 10366980 11403678 13158090 15550470 17105517 19006130 22807356 26316180 28509195 31100940 34211034 38012260 57018390 68422068 85527585 114036780 171055170 342110340