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2734794336 = 253194013739
BaseRepresentation
bin1010001100000001…
…1010011001100000
321001120222221120010
42203000122121200
521100101404321
61131212044520
7124525240221
oct24300323140
97046887503
102734794336
1111837a150a
12643a63740
13347779a01
141bd2cd248
15110159676
hexa301a660

2734794336 has 96 divisors (see below), whose sum is σ = 7577539200. Its totient is φ = 861235200.

The previous prime is 2734794331. The next prime is 2734794347. The reversal of 2734794336 is 6334974372.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734794331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 729555 + ... + 733293.

It is an arithmetic number, because the mean of its divisors is an integer number (78932700).

Almost surely, 22734794336 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 2734794336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788769600).

2734794336 is an abundant number, since it is smaller than the sum of its proper divisors (4842744864).

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

2734794336 is a wasteful number, since it uses less digits than its factorization.

2734794336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4164 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

The square root of 2734794336 is about 52295.2611237385. The cubic root of 2734794336 is about 1398.4326568502.

The spelling of 2734794336 in words is "two billion, seven hundred thirty-four million, seven hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 401 456 608 802 912 1203 1604 1824 2406 3208 3739 4812 6416 7478 7619 9624 11217 12832 14956 15238 19248 22434 22857 29912 30476 38496 44868 45714 59824 60952 71041 89736 91428 119648 121904 142082 179472 182856 213123 243808 284164 358944 365712 426246 568328 731424 852492 1136656 1499339 1704984 2273312 2998678 3409968 4498017 5997356 6819936 8996034 11994712 17992068 23989424 28487441 35984136 47978848 56974882 71968272 85462323 113949764 143936544 170924646 227899528 341849292 455799056 683698584 911598112 1367397168 2734794336