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343712430 = 23354161509
BaseRepresentation
bin10100011111001…
…010001010101110
3212221202101211000
4110133022022232
51200442244210
654034541130
711342336025
oct2437121256
9787671730
10343712430
11167020266
12971377a6
1356294349
14339118bc
1520295ac0
hex147ca2ae

343712430 has 128 divisors (see below), whose sum is σ = 956188800. Its totient is φ = 87782400.

The previous prime is 343712387. The next prime is 343712441. The reversal of 343712430 is 34217343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 343712394 and 343712403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 675016 + ... + 675524.

It is an arithmetic number, because the mean of its divisors is an integer number (7470225).

Almost surely, 2343712430 is an apocalyptic number.

343712430 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 343712430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478094400).

343712430 is an abundant number, since it is smaller than the sum of its proper divisors (612476370).

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

343712430 is a wasteful number, since it uses less digits than its factorization.

343712430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 343712430 is about 18539.4830025004. The cubic root of 343712430 is about 700.4843110995.

Adding to 343712430 its reverse (34217343), we get a palindrome (377929773).

The spelling of 343712430 in words is "three hundred forty-three million, seven hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 61 82 90 122 123 135 183 205 246 270 305 366 369 410 509 549 610 615 738 915 1018 1098 1107 1230 1527 1647 1830 1845 2214 2501 2545 2745 3054 3294 3690 4581 5002 5090 5490 5535 7503 7635 8235 9162 11070 12505 13743 15006 15270 16470 20869 22509 22905 25010 27486 31049 37515 41738 45018 45810 62098 62607 67527 68715 75030 93147 104345 112545 125214 135054 137430 155245 186294 187821 208690 225090 279441 310490 313035 337635 375642 465735 558882 563463 626070 675270 838323 931470 939105 1126926 1273009 1397205 1676646 1878210 2546018 2794410 2817315 3819027 4191615 5634630 6365045 7638054 8383230 11457081 12730090 19095135 22914162 34371243 38190270 57285405 68742486 114570810 171856215 343712430