Search a number
-
+
3088640864 = 2541712467
BaseRepresentation
bin1011100000011000…
…1110101101100000
321222020211012202002
42320012032231200
522311143001424
61230252143132
7136353004601
oct27006165540
97866735662
103088640864
111345503661
12722467aa8
133a2b7b95a
142142bbda8
15131252cae
hexb818eb60

3088640864 has 72 divisors (see below), whose sum is σ = 6331571064. Its totient is φ = 1482252800.

The previous prime is 3088640857. The next prime is 3088640873. The reversal of 3088640864 is 4680468803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6613559 + ... + 6614025.

It is an arithmetic number, because the mean of its divisors is an integer number (87938487).

Almost surely, 23088640864 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 3088640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165785532).

3088640864 is an abundant number, since it is smaller than the sum of its proper divisors (3242930200).

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

3088640864 is an equidigital number, since it uses as much as digits as its factorization.

3088640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The square root of 3088640864 is about 55575.5419586710. The cubic root of 3088640864 is about 1456.3166149195.

The spelling of 3088640864 in words is "three billion, eighty-eight million, six hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 71 82 142 164 284 328 467 568 656 934 1136 1312 1868 2272 2911 3736 5041 5822 7472 10082 11644 14944 19147 20164 23288 33157 38294 40328 46576 66314 76588 80656 93152 132628 153176 161312 206681 265256 306352 413362 530512 612704 826724 1061024 1359437 1653448 2354147 2718874 3306896 4708294 5437748 6613792 9416588 10875496 18833176 21750992 37666352 43501984 75332704 96520027 193040054 386080108 772160216 1544320432 3088640864