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352052404 = 2211241113157
BaseRepresentation
bin10100111110111…
…110010010110100
3220112110010002221
4110332332102310
51210111134104
654533412124
711503252564
oct2476762264
9815403087
10352052404
111707a7200
1299a9a044
1357c24442
1434a82da4
1520d91c54
hex14fbe4b4

352052404 has 72 divisors (see below), whose sum is σ = 704305224. Its totient is φ = 153753600.

The previous prime is 352052383. The next prime is 352052429. The reversal of 352052404 is 404250253.

352052404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35283600 + 316768804 = 5940^2 + 17798^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2242294 + ... + 2242450.

It is an arithmetic number, because the mean of its divisors is an integer number (9782017).

Almost surely, 2352052404 is an apocalyptic number.

It is an amenable number.

352052404 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

352052404 is a wasteful number, since it uses less digits than its factorization.

352052404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 352052404 is about 18763.0595586114. The cubic root of 352052404 is about 706.1047040338.

The spelling of 352052404 in words is "three hundred fifty-two million, fifty-two thousand, four hundred four".

Divisors: 1 2 4 11 22 41 44 82 113 121 157 164 226 242 314 451 452 484 628 902 1243 1727 1804 2486 3454 4633 4961 4972 6437 6908 9266 9922 12874 13673 17741 18532 18997 19844 25748 27346 35482 37994 50963 54692 70807 70964 75988 101926 141614 195151 203852 283228 390302 560593 727381 778877 780604 1121186 1454762 1557754 2146661 2242372 2909524 3115508 4293322 8001191 8586644 16002382 32004764 88013101 176026202 352052404