Search a number
-
+
2730970350 = 233527732617
BaseRepresentation
bin1010001011000111…
…0100110011101110
321001022210200001000
42202301310303232
521043112022400
61130554101130
7124450602453
oct24261646356
97038720030
102730970350
11118161a499
1264271a7a6
13346a3b2b4
141bc9b582a
1510eb51600
hexa2c74cee

2730970350 has 96 divisors (see below), whose sum is σ = 7537955040. Its totient is φ = 727038720.

The previous prime is 2730970349. The next prime is 2730970367. The reversal of 2730970350 is 530790372.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042242 + ... + 1044858.

It is an arithmetic number, because the mean of its divisors is an integer number (78520365).

Almost surely, 22730970350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730970350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768977520).

2730970350 is an abundant number, since it is smaller than the sum of its proper divisors (4806984690).

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

2730970350 is a wasteful number, since it uses less digits than its factorization.

2730970350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 2730970350 is about 52258.6868376924. The cubic root of 2730970350 is about 1397.7805564674.

The spelling of 2730970350 in words is "two billion, seven hundred thirty million, nine hundred seventy thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 773 1350 1546 2319 2617 3865 4638 5234 6957 7730 7851 11595 13085 13914 15702 19325 20871 23190 23553 26170 34785 38650 39255 41742 47106 57975 65425 69570 70659 78510 104355 115950 117765 130850 141318 173925 196275 208710 235530 347850 353295 392550 521775 588825 706590 1043550 1177650 1766475 2022941 3532950 4045882 6068823 10114705 12137646 18206469 20229410 30344115 36412938 50573525 54619407 60688230 91032345 101147050 109238814 151720575 182064690 273097035 303441150 455161725 546194070 910323450 1365485175 2730970350