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4450346064 = 24343433909
BaseRepresentation
bin1000010010100001…
…01110010001010000
3102111011010000010000
410021100232101100
533103242033224
62013334210000
7215166213603
oct41120562120
912434100100
104450346064
11198411695a
12a424b3900
1355c00ca88
143030a233a
151b0a810c9
hex10942e450

4450346064 has 50 divisors (see below), whose sum is σ = 12880596410. Its totient is φ = 1483448256.

The previous prime is 4450346063. The next prime is 4450346077. The reversal of 4450346064 is 4606430544.

4450346064 is a `hidden beast` number, since 4 + 45 + 0 + 3 + 4 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4421186064 + 29160000 = 66492^2 + 5400^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4450346063) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1715659 + ... + 1718250.

Almost surely, 24450346064 is an apocalyptic number.

It is an amenable number.

4450346064 is an abundant number, since it is smaller than the sum of its proper divisors (8430250346).

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

4450346064 is a wasteful number, since it uses less digits than its factorization.

4450346064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433929 (or 3433914 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4450346064 is about 66710.9141295485. The cubic root of 4450346064 is about 1644.8687932848.

The spelling of 4450346064 in words is "four billion, four hundred fifty million, three hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3433909 6867818 10301727 13735636 20603454 27471272 30905181 41206908 54942544 61810362 82413816 92715543 123620724 164827632 185431086 247241448 278146629 370862172 494482896 556293258 741724344 1112586516 1483448688 2225173032 4450346064