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2313010304 = 271129371531
BaseRepresentation
bin1000100111011101…
…1011110010000000
312222012100002122022
42021313123302000
514214112312204
61021303501012
7111214156163
oct21167336200
95865302568
102313010304
11a876a7970
12546757768
132ab27bc67
1417d297ada
15d80e15be
hex89ddbc80

2313010304 has 128 divisors (see below), whose sum is σ = 5344228800. Its totient is φ = 987033600.

The previous prime is 2313010303. The next prime is 2313010313. The reversal of 2313010304 is 4030103132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2313010303) 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, 1510019 + ... + 1511549.

Almost surely, 22313010304 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 2313010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672114400).

2313010304 is an abundant number, since it is smaller than the sum of its proper divisors (3031218496).

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

2313010304 is a wasteful number, since it uses less digits than its factorization.

2313010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1610 counting only the distinct ones).

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

The square root of 2313010304 is about 48093.7657498350. The cubic root of 2313010304 is about 1322.4903827308.

Adding to 2313010304 its reverse (4030103132), we get a palindrome (6343113436).

The spelling of 2313010304 in words is "two billion, three hundred thirteen million, ten thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 29 32 37 44 58 64 74 88 116 128 148 176 232 296 319 352 407 464 592 638 704 814 928 1073 1184 1276 1408 1531 1628 1856 2146 2368 2552 3062 3256 3712 4292 4736 5104 6124 6512 8584 10208 11803 12248 13024 16841 17168 20416 23606 24496 26048 33682 34336 40832 44399 47212 48992 52096 56647 67364 68672 88798 94424 97984 113294 134728 137344 177596 188848 195968 226588 269456 355192 377696 453176 488389 538912 623117 710384 755392 906352 976778 1077824 1246234 1420768 1510784 1642763 1812704 1953556 2155648 2492468 2841536 3285526 3625408 3907112 4984936 5683072 6571052 7250816 7814224 9969872 13142104 15628448 18070393 19939744 26284208 31256896 36140786 39879488 52568416 62513792 72281572 79758976 105136832 144563144 210273664 289126288 578252576 1156505152 2313010304