Search a number
-
+
2305761042 = 231337877911
BaseRepresentation
bin1000100101101111…
…0001111100010010
312221200200210112010
42021123301330102
514210233323132
61020444243350
7111065434254
oct21133617422
95850623463
102305761042
11a835a6442
12544240556
132a9911460
1417c32bcd4
15d765d6cc
hex896f1f12

2305761042 has 64 divisors (see below), whose sum is σ = 5111898624. Its totient is φ = 688746240.

The previous prime is 2305761023. The next prime is 2305761067. The reversal of 2305761042 is 2401675032.

2305761042 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2530567 + ... + 2531477.

It is an arithmetic number, because the mean of its divisors is an integer number (79873416).

Almost surely, 22305761042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305761042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555949312).

2305761042 is an abundant number, since it is smaller than the sum of its proper divisors (2806137582).

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

2305761042 is a wasteful number, since it uses less digits than its factorization.

2305761042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2305761042 is about 48018.3406835347. The cubic root of 2305761042 is about 1321.1073203732.

The spelling of 2305761042 in words is "two billion, three hundred five million, seven hundred sixty-one thousand, forty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 877 911 962 1443 1754 1822 2631 2733 2886 5262 5466 11401 11843 22802 23686 32449 33707 34203 35529 64898 67414 68406 71058 97347 101121 194694 202242 421837 438191 798947 843674 876382 1265511 1314573 1597894 2396841 2531022 2629146 4793682 10386311 20772622 29561039 31158933 59122078 62317866 88683117 177366234 384293507 768587014 1152880521 2305761042