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4490340100 = 225267012
BaseRepresentation
bin1000010111010010…
…10010011100000100
3102120221100220121121
410023221102130010
533144011340400
62021323323324
7216163155361
oct41351223404
912527326547
104490340100
1119a4752a84
12a53980544
135673a399c
14308513468
151b433121a
hex10ba52704

4490340100 has 27 divisors (see below), whose sum is σ = 9745492351. Its totient is φ = 1795868000.

The previous prime is 4490340061. The next prime is 4490340103. The reversal of 4490340100 is 10430944.

It is a happy number.

The square root of 4490340100 is 67010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 253892356 + 4236447744 = 15934^2 + 65088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4490340103) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 666750 + ... + 673450.

Almost surely, 24490340100 is an apocalyptic number.

4490340100 is the 67010-th square number.

It is an amenable number.

4490340100 is an abundant number, since it is smaller than the sum of its proper divisors (5255152251).

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

4490340100 is an frugal number, since it uses more digits than its factorization.

4490340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13416 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 4490340100 is about 1649.7814341652.

Multiplying 4490340100 by its sum of digits (25), we get a square (112258502500 = 3350502).

4490340100 divided by its sum of digits (25) gives a square (179613604 = 134022).

The spelling of 4490340100 in words is "four billion, four hundred ninety million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6701 13402 26804 33505 67010 134020 167525 335050 670100 44903401 89806802 179613604 224517005 449034010 898068020 1122585025 2245170050 4490340100