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2734368 = 253713313
BaseRepresentation
bin1010011011100100100000
312010220211220
422123210200
51144444433
6134335040
732145630
oct12334440
95126756
102734368
1115a840a
12aba480
13749790
145126c0
153902b3
hex29b920

2734368 has 96 divisors (see below), whose sum is σ = 8862336. Its totient is φ = 718848.

The previous prime is 2734343. The next prime is 2734387. The reversal of 2734368 is 8634372.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8580 + ... + 8892.

It is an arithmetic number, because the mean of its divisors is an integer number (92316).

22734368 is an apocalyptic number.

2734368 is a gapful number since it is divisible by the number (28) 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 2734368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431168).

2734368 is an abundant number, since it is smaller than the sum of its proper divisors (6127968).

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

2734368 is a wasteful number, since it uses less digits than its factorization.

2734368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 2734368 is about 1653.5924528130. The cubic root of 2734368 is about 139.8359984333.

It can be divided in two parts, 273 and 4368, that multiplied together give a square (1192464 = 10922).

The spelling of 2734368 in words is "two million, seven hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 313 336 364 416 546 624 626 672 728 939 1092 1248 1252 1456 1878 2184 2191 2504 2912 3756 4069 4368 4382 5008 6573 7512 8138 8736 8764 10016 12207 13146 15024 16276 17528 24414 26292 28483 30048 32552 35056 48828 52584 56966 65104 70112 85449 97656 105168 113932 130208 170898 195312 210336 227864 341796 390624 455728 683592 911456 1367184 2734368