[go: up one dir, main page]

Search a number
-
+
2303302014 = 233132673767
BaseRepresentation
bin1000100101001001…
…1001100101111110
312221112001212101000
42021102121211332
514204121131024
61020315431130
7111035513136
oct21122314576
95845055330
102303302014
11a82176992
125434554a6
132a9260100
1417bc8bac6
15d7324cc9
hex8949997e

2303302014 has 96 divisors (see below), whose sum is σ = 5626679040. Its totient is φ = 697945248.

The previous prime is 2303302013. The next prime is 2303302021. The reversal of 2303302014 is 4102033032.

2303302014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303302013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609559 + ... + 613325.

It is an arithmetic number, because the mean of its divisors is an integer number (58611240).

Almost surely, 22303302014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303302014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813339520).

2303302014 is an abundant number, since it is smaller than the sum of its proper divisors (3323377026).

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

2303302014 is a wasteful number, since it uses less digits than its factorization.

2303302014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2303302014 is about 47992.7287617614. The cubic root of 2303302014 is about 1320.6375123030.

Adding to 2303302014 its reverse (4102033032), we get a palindrome (6405335046).

The spelling of 2303302014 in words is "two billion, three hundred three million, three hundred two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 117 134 169 201 234 338 351 402 507 603 702 871 1014 1206 1521 1742 1809 2613 3042 3618 3767 4563 5226 7534 7839 9126 11301 11323 15678 22602 22646 23517 33903 33969 47034 48971 67806 67938 97942 101709 101907 146913 203418 203814 252389 293826 305721 440739 504778 611442 636623 757167 881478 1273246 1322217 1514334 1909869 2271501 2644434 3281057 3819738 4543002 5729607 6562114 6814503 9843171 11459214 13629006 17188821 19686342 29529513 34377642 42653741 59059026 85307482 88588539 127961223 177177078 255922446 383883669 767767338 1151651007 2303302014