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1034035728 = 243113974933
BaseRepresentation
bin111101101000100…
…010001000010000
32200001201110100120
4331220202020100
54104203120403
6250334550240
734424105265
oct7550421020
92601643316
101034035728
11490760390
1224a368380
131362c607b
149b48b26c
1560ba5e53
hex3da22210

1034035728 has 80 divisors (see below), whose sum is σ = 2922033216. Its totient is φ = 312491520.

The previous prime is 1034035699. The next prime is 1034035733. The reversal of 1034035728 is 8275304301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207150 + ... + 212082.

Almost surely, 21034035728 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 1034035728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461016608).

1034035728 is an abundant number, since it is smaller than the sum of its proper divisors (1887997488).

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

1034035728 is a wasteful number, since it uses less digits than its factorization.

1034035728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1034035728 is about 32156.4259208016. The cubic root of 1034035728 is about 1011.2189080829.

The spelling of 1034035728 in words is "one billion, thirty-four million, thirty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 397 528 794 1191 1588 2382 3176 4367 4764 4933 6352 8734 9528 9866 13101 14799 17468 19056 19732 26202 29598 34936 39464 52404 54263 59196 69872 78928 104808 108526 118392 162789 209616 217052 236784 325578 434104 651156 868208 1302312 1958401 2604624 3916802 5875203 7833604 11750406 15667208 21542411 23500812 31334416 43084822 47001624 64627233 86169644 94003248 129254466 172339288 258508932 344678576 517017864 1034035728