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2308074648 = 2331197193467
BaseRepresentation
bin1000100110010010…
…0110110010011000
312221212001100012020
42021210212302120
514211331342043
61021010014440
7111124211415
oct21144466230
95855040166
102308074648
11a84936710
12544b77420
132aa241559
1417c77110c
15d7968e83
hex89926c98

2308074648 has 128 divisors (see below), whose sum is σ = 6406283520. Its totient is φ = 687144960.

The previous prime is 2308074619. The next prime is 2308074667. The reversal of 2308074648 is 8464708032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4942111 + ... + 4942577.

It is an arithmetic number, because the mean of its divisors is an integer number (50049090).

Almost surely, 22308074648 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 2308074648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203141760).

2308074648 is an abundant number, since it is smaller than the sum of its proper divisors (4098208872).

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

2308074648 is a wasteful number, since it uses less digits than its factorization.

2308074648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2308074648 is about 48042.4255008009. The cubic root of 2308074648 is about 1321.5490400527.

The spelling of 2308074648 in words is "two billion, three hundred eight million, seventy-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 193 194 264 291 386 388 467 579 582 772 776 934 1067 1158 1164 1401 1544 1868 2123 2134 2316 2328 2802 3201 3736 4246 4268 4632 5137 5604 6369 6402 8492 8536 10274 11208 12738 12804 15411 16984 18721 20548 25476 25608 30822 37442 41096 45299 50952 56163 61644 74884 90131 90598 112326 123288 135897 149768 180262 181196 205931 224652 270393 271794 360524 362392 411862 449304 498289 540786 543588 617793 721048 823724 991441 996578 1081572 1087176 1235586 1494867 1647448 1982882 1993156 2163144 2471172 2974323 2989734 3965764 3986312 4942344 5948646 5979468 7931528 8742707 11897292 11958936 17485414 23794584 26228121 34970828 52456242 69941656 96169777 104912484 192339554 209824968 288509331 384679108 577018662 769358216 1154037324 2308074648