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1034444331 = 33173221461
BaseRepresentation
bin111101101010000…
…101111000101011
32200002111012212000
4331222011320223
54104304204311
6250351422043
734430426454
oct7552057053
92602435760
101034444331
11490a0a378
1224a524923
1313640a04b
149b55612b
1560c37056
hex3da85e2b

1034444331 has 16 divisors (see below), whose sum is σ = 1541375520. Its totient is φ = 685640160.

The previous prime is 1034444293. The next prime is 1034444351. The reversal of 1034444331 is 1334444301.

It is not a de Polignac number, because 1034444331 - 218 = 1034182187 is a prime.

It is a super-2 number, since 2×10344443312 = 2140150147876075122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1034444295 and 1034444304.

It is not an unprimeable number, because it can be changed into a prime (1034444351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106060 + ... + 115401.

It is an arithmetic number, because the mean of its divisors is an integer number (96335970).

Almost surely, 21034444331 is an apocalyptic number.

1034444331 is a deficient number, since it is larger than the sum of its proper divisors (506931189).

1034444331 is a wasteful number, since it uses less digits than its factorization.

1034444331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221643 (or 221637 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1034444331 is about 32162.7786579456. The cubic root of 1034444331 is about 1011.3520861592.

Adding to 1034444331 its reverse (1334444301), we get a palindrome (2368888632).

The spelling of 1034444331 in words is "one billion, thirty-four million, four hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 27 173 519 1557 4671 221461 664383 1993149 5979447 38312753 114938259 344814777 1034444331