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1034433114 = 231121328431
BaseRepresentation
bin111101101010000…
…011001001011010
32200002110122110120
4331222003021122
54104303324424
6250351254110
734430351661
oct7552031132
92602418416
101034433114
11490a01a00
1224a51a336
13136404c00
149b551dd8
1560c33a79
hex3da8325a

1034433114 has 72 divisors (see below), whose sum is σ = 2462717376. Its totient is φ = 289317600.

The previous prime is 1034433083. The next prime is 1034433133. The reversal of 1034433114 is 4113344301.

1034433114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118479 + ... + 126909.

It is an arithmetic number, because the mean of its divisors is an integer number (34204408).

Almost surely, 21034433114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034433114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231358688).

1034433114 is an abundant number, since it is smaller than the sum of its proper divisors (1428284262).

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

1034433114 is a wasteful number, since it uses less digits than its factorization.

1034433114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1034433114 is about 32162.6042788826. The cubic root of 1034433114 is about 1011.3484306130.

Adding to 1034433114 its reverse (4113344301), we get a palindrome (5147777415).

The spelling of 1034433114 in words is "one billion, thirty-four million, four hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 169 242 286 338 363 429 507 726 858 1014 1573 1859 3146 3718 4719 5577 8431 9438 11154 16862 20449 25293 40898 50586 61347 92741 109603 122694 185482 219206 278223 328809 556446 657618 1020151 1205633 1424839 2040302 2411266 2849678 3060453 3616899 4274517 6120906 7233798 8549034 13261963 15673229 26523926 31346458 39785889 47019687 79571778 94039374 172405519 344811038 517216557 1034433114