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2829734028 = 223511264659
BaseRepresentation
bin1010100010101010…
…0101000010001100
321022012122101100000
42220222211002030
521243402442103
61144443004300
7130060225302
oct25052450214
97265571300
102829734028
111222347070
1266b809690
1336133b144
141cbb64272
1511865eaa3
hexa8aa508c

2829734028 has 72 divisors (see below), whose sum is σ = 8092244160. Its totient is φ = 857491920.

The previous prime is 2829734021. The next prime is 2829734057. The reversal of 2829734028 is 8204379282.

2829734028 is a `hidden beast` number, since 282 + 9 + 7 + 340 + 28 = 666.

It is a super-2 number, since 2×28297340282 = 16014789338442209568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2829734021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121638 + ... + 143021.

It is an arithmetic number, because the mean of its divisors is an integer number (112392280).

Almost surely, 22829734028 is an apocalyptic number.

It is an amenable number.

2829734028 is an abundant number, since it is smaller than the sum of its proper divisors (5262510132).

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

2829734028 is a wasteful number, since it uses less digits than its factorization.

2829734028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264689 (or 264675 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2829734028 is about 53195.2444115073. The cubic root of 2829734028 is about 1414.4313460425.

The spelling of 2829734028 in words is "two billion, eight hundred twenty-nine million, seven hundred thirty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 264659 529318 793977 1058636 1587954 2381931 2911249 3175908 4763862 5822498 7145793 8733747 9527724 11644996 14291586 17467494 21437379 26201241 28583172 34934988 42874758 52402482 64312137 78603723 85749516 104804964 128624274 157207446 235811169 257248548 314414892 471622338 707433507 943244676 1414867014 2829734028