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343213872 = 243192691399
BaseRepresentation
bin10100011101010…
…000011100110000
3212220211001220220
4110131100130300
51200330320442
654020133040
711335161351
oct2435203460
9786731826
10343213872
1116680a731
1296b37180
135614b441
1433821d28
15201e7eec
hex14750730

343213872 has 80 divisors (see below), whose sum is σ = 937440000. Its totient is φ = 107903232.

The previous prime is 343213861. The next prime is 343213903. The reversal of 343213872 is 278312343.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244629 + ... + 246027.

It is an arithmetic number, because the mean of its divisors is an integer number (11718000).

Almost surely, 2343213872 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 343213872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720000).

343213872 is an abundant number, since it is smaller than the sum of its proper divisors (594226128).

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

343213872 is a wasteful number, since it uses less digits than its factorization.

343213872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 343213872 is about 18526.0322789312. The cubic root of 343213872 is about 700.1454609274.

The spelling of 343213872 in words is "three hundred forty-three million, two hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 269 304 456 538 807 912 1076 1399 1614 2152 2798 3228 4197 4304 5111 5596 6456 8394 10222 11192 12912 15333 16788 20444 22384 26581 30666 33576 40888 53162 61332 67152 79743 81776 106324 122664 159486 212648 245328 318972 376331 425296 637944 752662 1128993 1275888 1505324 2257986 3010648 4515972 6021296 7150289 9031944 14300578 18063888 21450867 28601156 42901734 57202312 85803468 114404624 171606936 343213872