Search a number
-
+
4460330644 = 2272114744017
BaseRepresentation
bin1000010011101101…
…10011111010010100
3102111211220021101021
410021312303322110
533113321040034
62014332210524
7215350120300
oct41166637224
912454807337
104460330644
111989816480
12a45909a44
135610c7603
14304540d00
151b18a46b4
hex109db3e94

4460330644 has 72 divisors (see below), whose sum is σ = 10116392832. Its totient is φ = 1700778240.

The previous prime is 4460330639. The next prime is 4460330657.

4460330644 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79324 + ... + 123340.

It is an arithmetic number, because the mean of its divisors is an integer number (140505456).

Almost surely, 24460330644 is an apocalyptic number.

4460330644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4460330644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058196416).

4460330644 is an abundant number, since it is smaller than the sum of its proper divisors (5656062188).

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

4460330644 is a wasteful number, since it uses less digits than its factorization.

4460330644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44093 (or 44084 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The square root of 4460330644 is about 66785.7068840332. The cubic root of 4460330644 is about 1646.0979903641.

The spelling of 4460330644 in words is "four billion, four hundred sixty million, three hundred thirty thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 47 49 77 94 98 154 188 196 308 329 517 539 658 1034 1078 1316 2068 2156 2303 3619 4606 7238 9212 14476 25333 44017 50666 88034 101332 176068 308119 484187 616238 968374 1232476 1936748 2068799 2156833 3389309 4137598 4313666 6778618 8275196 8627332 13557236 14481593 22756789 23725163 28963186 45513578 47450326 57926372 91027156 94900652 101371151 159297523 202742302 318595046 405484604 637190092 1115082661 2230165322 4460330644