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1604340224 = 2913922543
BaseRepresentation
bin101111110100000…
…0100101000000000
311010210211221001022
41133220010220000
511241202341344
6423110325012
754520444514
oct13750045000
94123757038
101604340224
11753676613
12389359768
131c74c5456
14113104144
1595caa0ee
hex5fa04a00

1604340224 has 40 divisors (see below), whose sum is σ = 3228751680. Its totient is φ = 796363776.

The previous prime is 1604340203. The next prime is 1604340247. The reversal of 1604340224 is 4220434061.

It is a junction number, because it is equal to n+sod(n) for n = 1604340193 and 1604340202.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 59897 + ... + 82439.

It is an arithmetic number, because the mean of its divisors is an integer number (80718792).

Almost surely, 21604340224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614375840).

1604340224 is an abundant number, since it is smaller than the sum of its proper divisors (1624411456).

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

1604340224 is an equidigital number, since it uses as much as digits as its factorization.

1604340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22700 (or 22684 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1604340224 is about 40054.2160577385. The cubic root of 1604340224 is about 1170.6637147812.

Adding to 1604340224 its reverse (4220434061), we get a palindrome (5824774285).

The spelling of 1604340224 in words is "one billion, six hundred four million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1112 2224 4448 8896 17792 22543 35584 45086 71168 90172 180344 360688 721376 1442752 2885504 3133477 5771008 6266954 11542016 12533908 25067816 50135632 100271264 200542528 401085056 802170112 1604340224