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352255008 = 2537524189
BaseRepresentation
bin10100111111101…
…111110000100000
3220112211102000210
4110333233300200
51210134130013
654542014120
711505055350
oct2477576040
9815742023
10352255008
11170925446
1299b77340
1357c95721
1434ad6b60
1520dd1cc3
hex14fefc20

352255008 has 48 divisors (see below), whose sum is σ = 1056767040. Its totient is φ = 100644096.

The previous prime is 352254983. The next prime is 352255009. The reversal of 352255008 is 800552253.

352255008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3522550082 = 248167181322160128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352255009) 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, 261423 + ... + 262766.

It is an arithmetic number, because the mean of its divisors is an integer number (22015980).

Almost surely, 2352255008 is an apocalyptic number.

It is an amenable number.

352255008 is an abundant number, since it is smaller than the sum of its proper divisors (704512032).

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

352255008 is a wasteful number, since it uses less digits than its factorization.

352255008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524209 (or 524201 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 352255008 is about 18768.4577949282. The cubic root of 352255008 is about 706.2401310339.

The spelling of 352255008 in words is "three hundred fifty-two million, two hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 524189 1048378 1572567 2096756 3145134 3669323 4193512 6290268 7338646 8387024 11007969 12580536 14677292 16774048 22015938 25161072 29354584 44031876 50322144 58709168 88063752 117418336 176127504 352255008