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2300745304 = 23114131511
BaseRepresentation
bin1000100100100010…
…1001011001011000
312221100020222020001
42021020221121120
514202442322204
61020144542344
7111005004154
oct21110513130
95840228201
102300745304
11a80790000
125426219b4
132a8876470
1417b7c4064
15d6ebc4a4
hex89229658

2300745304 has 80 divisors (see below), whose sum is σ = 5113659600. Its totient is φ = 964708800.

The previous prime is 2300745281. The next prime is 2300745323. The reversal of 2300745304 is 4035470032.

It is a super-3 number, since 3×23007453043 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1521909 + ... + 1523419.

It is an arithmetic number, because the mean of its divisors is an integer number (63920745).

Almost surely, 22300745304 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 2300745304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556829800).

2300745304 is an abundant number, since it is smaller than the sum of its proper divisors (2812914296).

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

2300745304 is a wasteful number, since it uses less digits than its factorization.

2300745304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 2300745304 is about 47966.0849350872. The cubic root of 2300745304 is about 1320.1486869547.

The spelling of 2300745304 in words is "two billion, three hundred million, seven hundred forty-five thousand, three hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1331 1511 1573 2662 3022 3146 5324 6044 6292 10648 12088 12584 14641 16621 17303 19643 29282 33242 34606 39286 58564 66484 69212 78572 117128 132968 138424 157144 182831 190333 216073 365662 380666 432146 731324 761332 864292 1462648 1522664 1728584 2011141 2376803 4022282 4753606 8044564 9507212 16089128 19014424 22122551 26144833 44245102 52289666 88490204 104579332 176980408 209158664 287593163 575186326 1150372652 2300745304