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1034046312 = 233135236337
BaseRepresentation
bin111101101000100…
…100101101101000
32200001201222212120
4331220210231220
54104203440222
6250335111240
734424151165
oct7550445550
92601658776
101034046312
11490768332
1224a372520
131362cab30
149b49106c
1560ba915c
hex3da24b68

1034046312 has 64 divisors (see below), whose sum is σ = 2789734080. Its totient is φ = 317509632.

The previous prime is 1034046283. The next prime is 1034046313. The reversal of 1034046312 is 2136404301.

1034046312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1034046313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160008 + ... + 166344.

It is an arithmetic number, because the mean of its divisors is an integer number (43589595).

Almost surely, 21034046312 is an apocalyptic number.

1034046312 is a gapful number since it is divisible by the number (12) 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 1034046312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394867040).

1034046312 is an abundant number, since it is smaller than the sum of its proper divisors (1755687768).

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

1034046312 is a wasteful number, since it uses less digits than its factorization.

1034046312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6878 counting only the distinct ones).

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

The square root of 1034046312 is about 32156.5904909087. The cubic root of 1034046312 is about 1011.2223582230. Note that the first 3 decimals are identical.

The spelling of 1034046312 in words is "one billion, thirty-four million, forty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 523 1046 1569 2092 3138 4184 6276 6337 6799 12552 12674 13598 19011 20397 25348 27196 38022 40794 50696 54392 76044 81588 82381 152088 163176 164762 247143 329524 494286 659048 988572 1977144 3314251 6628502 9942753 13257004 19885506 26514008 39771012 43085263 79542024 86170526 129255789 172341052 258511578 344682104 517023156 1034046312