Search a number
-
+
2313310040 = 2351910728447
BaseRepresentation
bin1000100111100010…
…0100111101011000
312222012220022210122
42021320210331120
514214201410130
61021314132412
7111216545066
oct21170447530
95865808718
102313310040
11a87892088
12546881108
132ab355512
1417d335036
15d81502e5
hex89e24f58

2313310040 has 64 divisors (see below), whose sum is σ = 5530291200. Its totient is φ = 868399488.

The previous prime is 2313310033. The next prime is 2313310093. The reversal of 2313310040 is 400133132.

It is a happy number.

It is a congruent number.

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, 67097 + ... + 95543.

It is an arithmetic number, because the mean of its divisors is an integer number (86410800).

Almost surely, 22313310040 is an apocalyptic number.

2313310040 is a gapful number since it is divisible by the number (20) 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 2313310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765145600).

2313310040 is an abundant number, since it is smaller than the sum of its proper divisors (3216981160).

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

2313310040 is a wasteful number, since it uses less digits than its factorization.

2313310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28584 (or 28580 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2313310040 is about 48096.8818116102. The cubic root of 2313310040 is about 1322.5475061045.

Adding to 2313310040 its reverse (400133132), we get a palindrome (2713443172).

The spelling of 2313310040 in words is "two billion, three hundred thirteen million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 107 152 190 214 380 428 535 760 856 1070 2033 2140 4066 4280 8132 10165 16264 20330 28447 40660 56894 81320 113788 142235 227576 284470 540493 568940 1080986 1137880 2161972 2702465 3043829 4323944 5404930 6087658 10809860 12175316 15219145 21619720 24350632 30438290 57832751 60876580 115665502 121753160 231331004 289163755 462662008 578327510 1156655020 2313310040