Search a number
-
+
343153230 = 235729367
BaseRepresentation
bin10100011101000…
…001101001001110
3212220200222201220
4110131001221032
51200321400410
654014544210
711334516510
oct2435015116
9786628656
10343153230
11166779112
1296b08066
1356129964
1433807bb0
15201d5070
hex14741a4e

343153230 has 128 divisors (see below), whose sum is σ = 989383680. Its totient is φ = 74600064.

The previous prime is 343153219. The next prime is 343153247. The reversal of 343153230 is 32351343.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 343153230.

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 63 ways as a sum of consecutive naturals, for example, 5121657 + ... + 5121723.

It is an arithmetic number, because the mean of its divisors is an integer number (7729560).

Almost surely, 2343153230 is an apocalyptic number.

343153230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343153230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494691840).

343153230 is an abundant number, since it is smaller than the sum of its proper divisors (646230450).

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

343153230 is an equidigital number, since it uses as much as digits as its factorization.

343153230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 343153230 is about 18524.3955366970. The cubic root of 343153230 is about 700.1042225768.

The spelling of 343153230 in words is "three hundred forty-three million, one hundred fifty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 67 70 87 105 134 145 174 201 203 210 290 335 402 406 435 469 609 670 841 870 938 1005 1015 1218 1407 1682 1943 2010 2030 2345 2523 2814 3045 3886 4205 4690 5046 5829 5887 6090 7035 8410 9715 11658 11774 12615 13601 14070 17661 19430 24389 25230 27202 29145 29435 35322 40803 48778 56347 58290 58870 68005 73167 81606 88305 112694 121945 136010 146334 169041 170723 176610 204015 243890 281735 338082 341446 365835 394429 408030 512169 563470 731670 788858 845205 853615 1024338 1183287 1634063 1690410 1707230 1972145 2366574 2560845 3268126 3944290 4902189 5121690 5916435 8170315 9804378 11438441 11832870 16340630 22876882 24510945 34315323 49021890 57192205 68630646 114384410 171576615 343153230