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343130312 = 237174159149
BaseRepresentation
bin10100011100111…
…100000011001000
3212220122211022002
4110130330003020
51200320132222
654014250132
711334362630
oct2434740310
9786584262
10343130312
11166762978
1296ab6948
135611c3b5
14337dd6c0
15201cd392
hex1473c0c8

343130312 has 128 divisors (see below), whose sum is σ = 816480000. Its totient is φ = 131850240.

The previous prime is 343130311. The next prime is 343130317. The reversal of 343130312 is 213031343.

It is a super-2 number, since 2×3431303122 = 235476822026434688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343130311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302814 + ... + 2302962.

It is an arithmetic number, because the mean of its divisors is an integer number (6378750).

Almost surely, 2343130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240000).

343130312 is an abundant number, since it is smaller than the sum of its proper divisors (473349688).

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

343130312 is a wasteful number, since it uses less digits than its factorization.

343130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 343130312 is about 18523.7769366833. The cubic root of 343130312 is about 700.0886363951.

Adding to 343130312 its reverse (213031343), we get a palindrome (556161655).

The spelling of 343130312 in words is "three hundred forty-three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 59 68 82 118 119 136 149 164 236 238 287 298 328 413 472 476 574 596 697 826 952 1003 1043 1148 1192 1394 1652 2006 2086 2296 2419 2533 2788 3304 4012 4172 4838 4879 5066 5576 6109 7021 8024 8344 8791 9676 9758 10132 12218 14042 16933 17582 17731 19352 19516 20264 24436 28084 33866 35164 35462 39032 41123 42763 48872 56168 61537 67732 70328 70924 82246 85526 103853 123074 135464 141848 149447 164492 171052 207706 246148 287861 298894 328984 342104 360431 415412 492296 575722 597788 720862 726971 830824 1046129 1151444 1195576 1441724 1453942 2092258 2302888 2523017 2883448 2907884 4184516 5046034 5815768 6127327 8369032 10092068 12254654 20184136 24509308 42891289 49018616 85782578 171565156 343130312