Search a number
-
+
2341694368 = 251319231503
BaseRepresentation
bin1000101110010011…
…0110101110100000
320001012022101210001
42023210312232200
514243433204433
61024210345344
7112013034166
oct21344665640
96035271701
102341694368
11aa1909702
1255428b254
132b41b2c90
14183003236
15da8aa57d
hex8b936ba0

2341694368 has 144 divisors (see below), whose sum is σ = 5419685376. Its totient is φ = 988899840.

The previous prime is 2341694353. The next prime is 2341694431. The reversal of 2341694368 is 8634961432.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4655205 + ... + 4655707.

It is an arithmetic number, because the mean of its divisors is an integer number (37636704).

Almost surely, 22341694368 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 2341694368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709842688).

2341694368 is an abundant number, since it is smaller than the sum of its proper divisors (3077991008).

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

2341694368 is a wasteful number, since it uses less digits than its factorization.

2341694368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 568 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The square root of 2341694368 is about 48391.0566943934. The cubic root of 2341694368 is about 1327.9347538951.

The spelling of 2341694368 in words is "two billion, three hundred forty-one million, six hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 76 104 124 152 208 247 248 304 361 403 416 494 496 503 589 608 722 806 988 992 1006 1178 1444 1612 1976 2012 2356 2888 3224 3952 4024 4693 4712 5776 6448 6539 7657 7904 8048 9386 9424 9557 11191 11552 12896 13078 15314 15593 16096 18772 18848 19114 22382 26156 30628 31186 37544 38228 44764 52312 61256 62372 75088 76456 89528 104624 122512 124241 124744 145483 150176 152912 179056 181583 202709 209248 245024 248482 249488 290966 296267 305824 358112 363166 405418 496964 498976 581932 592534 726332 810836 993928 1163864 1185068 1452664 1621672 1987856 2327728 2360579 2370136 2905328 3243344 3851471 3975712 4655456 4721158 4740272 5629073 5810656 6486688 7702942 9442316 9480544 11258146 15405884 18884632 22516292 30811768 37769264 45032584 61623536 73177949 75538528 90065168 123247072 146355898 180130336 292711796 585423592 1170847184 2341694368