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420400352 = 2515318581
BaseRepresentation
bin11001000011101…
…100110011100000
31002022001112212102
4121003230303200
51330110302402
6105414345532
713263226001
oct3103546340
91068045772
10420400352
111a633a009
12b895b2a8
1369135008
143db951a8
1526d93102
hex190ecce0

420400352 has 24 divisors (see below), whose sum is σ = 828300312. Its totient is φ = 210038400.

The previous prime is 420400339. The next prime is 420400369. The reversal of 420400352 is 253004024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44702 + ... + 53282.

It is an arithmetic number, because the mean of its divisors is an integer number (34512513).

Almost surely, 2420400352 is an apocalyptic number.

It is an amenable number.

420400352 is a deficient number, since it is larger than the sum of its proper divisors (407899960).

420400352 is a wasteful number, since it uses less digits than its factorization.

420400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 420400352 is about 20503.6667940152. Note that the first 3 decimals coincide. The cubic root of 420400352 is about 749.1251143488.

Adding to 420400352 its reverse (253004024), we get a palindrome (673404376).

The spelling of 420400352 in words is "four hundred twenty million, four hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 1531 3062 6124 8581 12248 17162 24496 34324 48992 68648 137296 274592 13137511 26275022 52550044 105100088 210200176 420400352