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1034088328 = 237133145821
BaseRepresentation
bin111101101000101…
…110111110001000
32200001211010111201
4331220232332020
54104211311303
6250340033544
734424414530
oct7550567610
92601733451
101034088328
11490796959
1224a3928b4
13136313cb0
149b4a24c0
1560bb681d
hex3da2ef88

1034088328 has 64 divisors (see below), whose sum is σ = 2463390720. Its totient is φ = 395884800.

The previous prime is 1034088311. The next prime is 1034088329. The reversal of 1034088328 is 8238804301.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1034088329) 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, 343 + ... + 45478.

It is an arithmetic number, because the mean of its divisors is an integer number (38490480).

Almost surely, 21034088328 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 1034088328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231695360).

1034088328 is an abundant number, since it is smaller than the sum of its proper divisors (1429302392).

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

1034088328 is a wasteful number, since it uses less digits than its factorization.

1034088328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45878 (or 45874 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 1034088328 is about 32157.2437873646. The cubic root of 1034088328 is about 1011.2360542386.

The spelling of 1034088328 in words is "one billion, thirty-four million, eighty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2821 3224 5642 11284 22568 45821 91642 183284 320747 366568 595673 641494 1191346 1282988 1420451 2382692 2565976 2840902 4169711 4765384 5681804 8339422 9943157 11363608 16678844 18465863 19886314 33357688 36931726 39772628 73863452 79545256 129261041 147726904 258522082 517044164 1034088328