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442010309 = 13269126397
BaseRepresentation
bin11010010110001…
…000101011000101
31010210201110011012
4122112020223011
51401123312214
6111505452005
713645011536
oct3226105305
91123643135
10442010309
11207559984
12104041005
1370760180
14429bc68d
1528c1103e
hex1a588ac5

442010309 has 8 divisors (see below), whose sum is σ = 477784440. Its totient is φ = 406489536.

The previous prime is 442010291. The next prime is 442010339. The reversal of 442010309 is 903010244.

It can be written as a sum of positive squares in 4 ways, for example, as 18679684 + 423330625 = 4322^2 + 20575^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442010309 is a prime.

It is a super-2 number, since 2×4420103092 = 390746226524550962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442010339) 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 7 ways as a sum of consecutive naturals, for example, 59702 + ... + 66695.

It is an arithmetic number, because the mean of its divisors is an integer number (59723055).

Almost surely, 2442010309 is an apocalyptic number.

It is an amenable number.

442010309 is a deficient number, since it is larger than the sum of its proper divisors (35774131).

442010309 is a wasteful number, since it uses less digits than its factorization.

442010309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126679.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 442010309 is about 21024.0412147617. The cubic root of 442010309 is about 761.7470824274.

The spelling of 442010309 in words is "four hundred forty-two million, ten thousand, three hundred nine".

Divisors: 1 13 269 3497 126397 1643161 34000793 442010309