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1071283368 = 233316721491
BaseRepresentation
bin111111110110100…
…111110010101000
32202122210211111210
4333312213302220
54143222031433
6254145153120
735355521061
oct7766476250
92678724453
101071283368
114aa791061
1225a92b7a0
13140c37bac
14a23c5568
15640b2463
hex3fda7ca8

1071283368 has 64 divisors (see below), whose sum is σ = 2805995520. Its totient is φ = 340401600.

The previous prime is 1071283357. The next prime is 1071283469. The reversal of 1071283368 is 8633821701.

It is a super-2 number, since 2×10712833682 = 2295296109106846848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39103 + ... + 60593.

It is an arithmetic number, because the mean of its divisors is an integer number (43843680).

Almost surely, 21071283368 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 1071283368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402997760).

1071283368 is an abundant number, since it is smaller than the sum of its proper divisors (1734712152).

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

1071283368 is a wasteful number, since it uses less digits than its factorization.

1071283368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21598 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1071283368 is about 32730.4654412369. The cubic root of 1071283368 is about 1023.2178806633.

The spelling of 1071283368 in words is "one billion, seventy-one million, two hundred eighty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 67 93 124 134 186 201 248 268 372 402 536 744 804 1608 2077 4154 6231 8308 12462 16616 21491 24924 42982 49848 64473 85964 128946 171928 257892 515784 666221 1332442 1439897 1998663 2664884 2879794 3997326 4319691 5329768 5759588 7994652 8639382 11519176 15989304 17278764 34557528 44636807 89273614 133910421 178547228 267820842 357094456 535641684 1071283368