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1029348912 = 2431771109163
BaseRepresentation
bin111101010110101…
…001111000110000
32122201220100020210
4331112221320300
54102003131122
6250050304120
734336215144
oct7526517060
92581810223
101029348912
1148904a089
12248888040
131353449c7
149a9cb224
156057c40c
hex3d5a9e30

1029348912 has 160 divisors (see below), whose sum is σ = 2899100160. Its totient is φ = 313528320.

The previous prime is 1029348899. The next prime is 1029348913. The reversal of 1029348912 is 2198439201.

It is not an unprimeable number, because it can be changed into a prime (1029348913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6314943 + ... + 6315105.

It is an arithmetic number, because the mean of its divisors is an integer number (18119376).

Almost surely, 21029348912 is an apocalyptic number.

1029348912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029348912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449550080).

1029348912 is an abundant number, since it is smaller than the sum of its proper divisors (1869751248).

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

1029348912 is a wasteful number, since it uses less digits than its factorization.

1029348912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1029348912 is about 32083.4678923585. The cubic root of 1029348912 is about 1009.6887947517.

The spelling of 1029348912 in words is "one billion, twenty-nine million, three hundred forty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 102 109 136 142 163 204 213 218 272 284 326 327 408 426 436 489 568 652 654 816 852 872 978 1136 1207 1304 1308 1704 1744 1853 1956 2414 2608 2616 2771 3408 3621 3706 3912 4828 5232 5542 5559 7242 7412 7739 7824 8313 9656 11084 11118 11573 14484 14824 15478 16626 17767 19312 22168 22236 23146 23217 28968 29648 30956 33252 34719 35534 44336 44472 46292 46434 53301 57936 61912 66504 69438 71068 88944 92584 92868 106602 123824 131563 133008 138876 142136 185168 185736 196741 213204 263126 277752 284272 302039 371472 393482 394689 426408 526252 555504 590223 604078 786964 789378 852816 906117 1052504 1180446 1208156 1261457 1573928 1578756 1812234 2105008 2360892 2416312 2522914 3147856 3157512 3624468 3784371 4721784 4832624 5045828 6315024 7248936 7568742 9443568 10091656 14497872 15137484 20183312 21444769 30274968 42889538 60549936 64334307 85779076 128668614 171558152 257337228 343116304 514674456 1029348912