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2743130376 = 2332715734667
BaseRepresentation
bin1010001110000000…
…1101100100001000
321002011200110110100
42203200031210020
521104220133001
61132110445400
7124656136440
oct24340154410
97064613410
102743130376
1111884754a8
12646803860
1334940808c
141c045d120
15110c54586
hexa380d908

2743130376 has 96 divisors (see below), whose sum is σ = 8544968640. Its totient is φ = 778737024.

The previous prime is 2743130333. The next prime is 2743130399. The reversal of 2743130376 is 6730313472.

2743130376 is a `hidden beast` number, since 274 + 3 + 13 + 0 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2743130376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61795 + ... + 96461.

It is an arithmetic number, because the mean of its divisors is an integer number (89010090).

Almost surely, 22743130376 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 2743130376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272484320).

2743130376 is an abundant number, since it is smaller than the sum of its proper divisors (5801838264).

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

2743130376 is a wasteful number, since it uses less digits than its factorization.

2743130376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34843 (or 34836 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 2743130376 is about 52374.9021574265. The cubic root of 2743130376 is about 1399.8520891356.

The spelling of 2743130376 in words is "two billion, seven hundred forty-three million, one hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 942 1099 1256 1413 1884 2198 2826 3297 3768 4396 5652 6594 8792 9891 11304 13188 19782 26376 34667 39564 69334 79128 104001 138668 208002 242669 277336 312003 416004 485338 624006 728007 832008 970676 1248012 1456014 1941352 2184021 2496024 2912028 4368042 5442719 5824056 8736084 10885438 16328157 17472168 21770876 32656314 38099033 43541752 48984471 65312628 76198066 97968942 114297099 130625256 152396132 195937884 228594198 304792264 342891297 391875768 457188396 685782594 914376792 1371565188 2743130376