Search a number
-
+
3061743040 = 26528333809
BaseRepresentation
bin1011011001111110…
…0111110111000000
321220101012122212101
42312133213313000
522232301234130
61223451440144
7135605246356
oct26637476700
97811178771
103061743040
111331301954
12715456054
1339a421995
142108b97d6
1512dbdd1ca
hexb67e7dc0

3061743040 has 56 divisors (see below), whose sum is σ = 7316754480. Its totient is φ = 1220333568.

The previous prime is 3061743037. The next prime is 3061743077. The reversal of 3061743040 is 403471603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73656 + ... + 107464.

It is an arithmetic number, because the mean of its divisors is an integer number (130656330).

Almost surely, 23061743040 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 3061743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658377240).

3061743040 is an abundant number, since it is smaller than the sum of its proper divisors (4255011440).

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

3061743040 is a wasteful number, since it uses less digits than its factorization.

3061743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34109 (or 34099 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3061743040 is about 55333.0194368607. The cubic root of 3061743040 is about 1452.0767767713.

The spelling of 3061743040 in words is "three billion, sixty-one million, seven hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 283 320 566 1132 1415 2264 2830 4528 5660 9056 11320 18112 22640 33809 45280 67618 90560 135236 169045 270472 338090 540944 676180 1081888 1352360 2163776 2704720 5409440 9567947 10818880 19135894 38271788 47839735 76543576 95679470 153087152 191358940 306174304 382717880 612348608 765435760 1530871520 3061743040