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468348032 = 2717092141
BaseRepresentation
bin11011111010100…
…110110010000000
31012122021112201102
4123322212302000
51424344114112
6114250153532
714414615105
oct3372466200
91178245642
10468348032
11220408899
12110a228a8
1376052219
14462b6aac
152b1b4bc2
hex1bea6c80

468348032 has 32 divisors (see below), whose sum is σ = 934019100. Its totient is φ = 233927680.

The previous prime is 468348019. The next prime is 468348037. The reversal of 468348032 is 230843864.

It can be written as a sum of positive squares in 2 ways, for example, as 462078016 + 6270016 = 21496^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (468348037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 217682 + ... + 219822.

Almost surely, 2468348032 is an apocalyptic number.

It is an amenable number.

468348032 is a deficient number, since it is larger than the sum of its proper divisors (465671068).

468348032 is a wasteful number, since it uses less digits than its factorization.

468348032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 468348032 is about 21641.3500503088. The cubic root of 468348032 is about 776.5860171147.

The spelling of 468348032 in words is "four hundred sixty-eight million, three hundred forty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 1709 2141 3418 4282 6836 8564 13672 17128 27344 34256 54688 68512 109376 137024 218752 274048 3658969 7317938 14635876 29271752 58543504 117087008 234174016 468348032