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2313013344 = 25343599497
BaseRepresentation
bin1000100111011101…
…1100100001100000
312222012100020210220
42021313130201200
514214112411334
61021303523040
7111214201065
oct21167344140
95865306726
102313013344
11a876aa184
12546759480
132ab280465
1417d298c6c
15d80e2449
hex89ddc860

2313013344 has 96 divisors (see below), whose sum is σ = 6318829440. Its totient is φ = 740232192.

The previous prime is 2313013343. The next prime is 2313013369. The reversal of 2313013344 is 4433103132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313013343) 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, 238804 + ... + 248300.

It is an arithmetic number, because the mean of its divisors is an integer number (65821140).

Almost surely, 22313013344 is an apocalyptic number.

2313013344 is a gapful number since it is divisible by the number (24) 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 2313013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159414720).

2313013344 is an abundant number, since it is smaller than the sum of its proper divisors (4005816096).

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

2313013344 is a wasteful number, since it uses less digits than its factorization.

2313013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9612 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2313013344 is about 48093.7973547525. The cubic root of 2313013344 is about 1322.4909621156.

Adding to 2313013344 its reverse (4433103132), we get a palindrome (6746116476).

The spelling of 2313013344 in words is "two billion, three hundred thirteen million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 59 86 96 118 129 172 177 236 258 344 354 472 516 688 708 944 1032 1376 1416 1888 2064 2537 2832 4128 5074 5664 7611 9497 10148 15222 18994 20296 28491 30444 37988 40592 56982 60888 75976 81184 113964 121776 151952 227928 243552 303904 408371 455856 560323 816742 911712 1120646 1225113 1633484 1680969 2241292 2450226 3266968 3361938 4482584 4900452 6533936 6723876 8965168 9800904 13067872 13447752 17930336 19601808 24093889 26895504 39203616 48187778 53791008 72281667 96375556 144563334 192751112 289126668 385502224 578253336 771004448 1156506672 2313013344