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2706370368 = 263132574219
BaseRepresentation
bin1010000101001111…
…1110111101000000
320222121111212012120
42201103332331000
521020312322433
61124314524240
7124031524422
oct24123767500
96877455176
102706370368
111169748129
12636436680
133419071b0
141b9610812
1510c8e27b3
hexa14fef40

2706370368 has 112 divisors (see below), whose sum is σ = 7743261120. Its totient is φ = 829292544.

The previous prime is 2706370361. The next prime is 2706370397. The reversal of 2706370368 is 8630736072.

2706370368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706370361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639363 + ... + 643581.

It is an arithmetic number, because the mean of its divisors is an integer number (69136260).

Almost surely, 22706370368 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 2706370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871630560).

2706370368 is an abundant number, since it is smaller than the sum of its proper divisors (5036890752).

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

2706370368 is a wasteful number, since it uses less digits than its factorization.

2706370368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 2706370368 is about 52022.7870072337. The cubic root of 2706370368 is about 1393.5709243324.

The spelling of 2706370368 in words is "two billion, seven hundred six million, three hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 257 312 416 514 624 771 832 1028 1248 1542 2056 2496 3084 3341 4112 4219 6168 6682 8224 8438 10023 12336 12657 13364 16448 16876 20046 24672 25314 26728 33752 40092 49344 50628 53456 54847 67504 80184 101256 106912 109694 135008 160368 164541 202512 213824 219388 270016 320736 329082 405024 438776 641472 658164 810048 877552 1084283 1316328 1755104 2168566 2632656 3252849 3510208 4337132 5265312 6505698 8674264 10530624 13011396 14095679 17348528 26022792 28191358 34697056 42287037 52045584 56382716 69394112 84574074 104091168 112765432 169148148 208182336 225530864 338296296 451061728 676592592 902123456 1353185184 2706370368