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343902208 = 2111312917
BaseRepresentation
bin10100011111111…
…000100000000000
3212222010001010211
4110133320200000
51201014332313
654043003504
711344056226
oct2437704000
9788101124
10343902208
1116713a901
1297209594
135632c840
1433960b16
15202d1e3d
hex147f8800

343902208 has 48 divisors (see below), whose sum is σ = 740588940. Its totient is φ = 158711808.

The previous prime is 343902199. The next prime is 343902217. The reversal of 343902208 is 802209343.

343902208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (343902199) and next prime (343902217).

It can be written as a sum of positive squares in 2 ways, for example, as 333865984 + 10036224 = 18272^2 + 3168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 343902208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20166 + ... + 33082.

Almost surely, 2343902208 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 343902208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370294470).

343902208 is an abundant number, since it is smaller than the sum of its proper divisors (396686732).

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

343902208 is a wasteful number, since it uses less digits than its factorization.

343902208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 343902208 is about 18544.6005079646. The cubic root of 343902208 is about 700.6132096019.

The spelling of 343902208 in words is "three hundred forty-three million, nine hundred two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 12917 13312 25834 26624 51668 103336 167921 206672 335842 413344 671684 826688 1343368 1653376 2686736 3306752 5373472 6613504 10746944 13227008 21493888 26454016 42987776 85975552 171951104 343902208