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343431968 = 25111098951
BaseRepresentation
bin10100011110000…
…101101100100000
3212221020011002112
4110132011230200
51200404310333
654024534452
711340060245
oct2436055440
9787204075
10343431968
11166949580
1297021428
13561c67a9
143387b5cc
152023c948
hex14785b20

343431968 has 48 divisors (see below), whose sum is σ = 744448320. Its totient is φ = 154656000.

The previous prime is 343431967. The next prime is 343432009. The reversal of 343431968 is 869134343.

It is not an unprimeable number, because it can be changed into a prime (343431967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33893 + ... + 42843.

It is an arithmetic number, because the mean of its divisors is an integer number (15509340).

Almost surely, 2343431968 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 343431968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372224160).

343431968 is an abundant number, since it is smaller than the sum of its proper divisors (401016352).

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

343431968 is a wasteful number, since it uses less digits than its factorization.

343431968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9073 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The square root of 343431968 is about 18531.9175478416. The cubic root of 343431968 is about 700.2937325097.

The spelling of 343431968 in words is "three hundred forty-three million, four hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 176 218 352 436 872 1199 1744 2398 3488 4796 8951 9592 17902 19184 35804 38368 71608 98461 143216 196922 286432 393844 787688 975659 1575376 1951318 3150752 3902636 7805272 10732249 15610544 21464498 31221088 42928996 85857992 171715984 343431968