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1030312968 = 233233315639
BaseRepresentation
bin111101011010010…
…101010000001000
32122210201022200120
4331122111100020
54102230003333
6250123103240
734350341616
oct7532252010
92583638616
101030312968
11489648423
12249071b20
131355c1759
149ab9c6b6
15606bcdb3
hex3d695408

1030312968 has 64 divisors (see below), whose sum is σ = 2696371200. Its totient is φ = 327455040.

The previous prime is 1030312967. The next prime is 1030313051. The reversal of 1030312968 is 8692130301.

It is not an unprimeable number, because it can be changed into a prime (1030312967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179893 + ... + 185531.

It is an arithmetic number, because the mean of its divisors is an integer number (42130800).

Almost surely, 21030312968 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 1030312968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348185600).

1030312968 is an abundant number, since it is smaller than the sum of its proper divisors (1666058232).

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

1030312968 is a wasteful number, since it uses less digits than its factorization.

1030312968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1030312968 is about 32098.4885625476. The cubic root of 1030312968 is about 1010.0039107126.

The spelling of 1030312968 in words is "one billion, thirty million, three hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 331 552 662 993 1324 1986 2648 3972 5639 7613 7944 11278 15226 16917 22556 22839 30452 33834 45112 45678 60904 67668 91356 129697 135336 182712 259394 389091 518788 778182 1037576 1556364 1866509 3112728 3733018 5599527 7466036 11199054 14932072 22398108 42929707 44796216 85859414 128789121 171718828 257578242 343437656 515156484 1030312968