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1034853568 = 26715714713
BaseRepresentation
bin111101101011101…
…001110011000000
32200010021000012221
4331223221303000
54104410303233
6250404300424
734434052540
oct7553516300
92603230187
101034853568
11491169891
1224a6a1714
131365213b8
149b621320
1560cb842d
hex3dae9cc0

1034853568 has 56 divisors (see below), whose sum is σ = 2362008992. Its totient is φ = 440653824.

The previous prime is 1034853557. The next prime is 1034853581. The reversal of 1034853568 is 8653584301.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62980 + ... + 77692.

It is an arithmetic number, because the mean of its divisors is an integer number (42178732).

Almost surely, 21034853568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181004496).

1034853568 is an abundant number, since it is smaller than the sum of its proper divisors (1327155424).

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

1034853568 is a wasteful number, since it uses less digits than its factorization.

1034853568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14889 (or 14879 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 1034853568 is about 32169.1399947216. The cubic root of 1034853568 is about 1011.4854357314.

The spelling of 1034853568 in words is "one billion, thirty-four million, eight hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 157 224 314 448 628 1099 1256 2198 2512 4396 5024 8792 10048 14713 17584 29426 35168 58852 70336 102991 117704 205982 235408 411964 470816 823928 941632 1647856 2309941 3295712 4619882 6591424 9239764 16169587 18479528 32339174 36959056 64678348 73918112 129356696 147836224 258713392 517426784 1034853568