Search a number
-
+
3061642304 = 26723372897
BaseRepresentation
bin1011011001111100…
…1111010001000000
321220101000112200102
42312133033101000
522232240023204
61223445341532
7135604346600
oct26637172100
97811015612
103061642304
1113312431a6
127154078a8
1339a3b7b86
14210890c00
1512dbbd41e
hexb67cf440

3061642304 has 84 divisors (see below), whose sum is σ = 7090774236. Its totient is φ = 1307787264.

The previous prime is 3061642303. The next prime is 3061642351. The reversal of 3061642304 is 4032461603.

3061642304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 566440000 + 2495202304 = 23800^2 + 49952^2 .

It is not an unprimeable number, because it can be changed into a prime (3061642303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055384 + ... + 1058280.

It is an arithmetic number, because the mean of its divisors is an integer number (84413979).

Almost surely, 23061642304 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 3061642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545387118).

3061642304 is an abundant number, since it is smaller than the sum of its proper divisors (4029131932).

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

3061642304 is a wasteful number, since it uses less digits than its factorization.

3061642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 3061642304 is about 55332.1091591492. The cubic root of 3061642304 is about 1452.0608514190.

The spelling of 3061642304 in words is "three billion, sixty-one million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 337 392 448 674 784 1348 1568 2359 2696 2897 3136 4718 5392 5794 9436 10784 11588 16513 18872 20279 21568 23176 33026 37744 40558 46352 66052 75488 81116 92704 132104 141953 150976 162232 185408 264208 283906 324464 528416 567812 648928 976289 1056832 1135624 1297856 1952578 2271248 3905156 4542496 6834023 7810312 9084992 13668046 15620624 27336092 31241248 47838161 54672184 62482496 95676322 109344368 191352644 218688736 382705288 437377472 765410576 1530821152 3061642304