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343490208 = 25319188317
BaseRepresentation
bin10100011110010…
…011111010100000
3212221100002222120
4110132103322200
51200413141313
654030104240
711340422115
oct2436237240
9787302876
10343490208
11166989306
129704b080
1356217159
143389490c
152024ed23
hex14793ea0

343490208 has 48 divisors (see below), whose sum is σ = 949122720. Its totient is φ = 108470016.

The previous prime is 343490141. The next prime is 343490209. The reversal of 343490208 is 802094343.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (343490209) 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, 92335 + ... + 95982.

It is an arithmetic number, because the mean of its divisors is an integer number (19773390).

Almost surely, 2343490208 is an apocalyptic number.

343490208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

343490208 is an abundant number, since it is smaller than the sum of its proper divisors (605632512).

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

343490208 is a wasteful number, since it uses less digits than its factorization.

343490208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188349 (or 188341 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 343490208 is about 18533.4888242878. The cubic root of 343490208 is about 700.3333160910. Note that the first 4 decimals are identical.

The spelling of 343490208 in words is "three hundred forty-three million, four hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 188317 376634 564951 753268 1129902 1506536 2259804 3013072 3578023 4519608 6026144 7156046 9039216 10734069 14312092 18078432 21468138 28624184 42936276 57248368 85872552 114496736 171745104 343490208