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3488068864 = 2872384629
BaseRepresentation
bin1100111111100111…
…1011010100000000
3100000002102020221201
43033321323110000
524120421200424
61334041230544
7152303044660
oct31771732400
910002366851
103488068864
11152aa18845
12814192454
1343784ca97
142513741a0
15156351d44
hexcfe7b500

3488068864 has 72 divisors (see below), whose sum is σ = 8303218560. Its totient is φ = 1429874688.

The previous prime is 3488068861. The next prime is 3488068867. The reversal of 3488068864 is 4688608843.

It is an interprime number because it is at equal distance from previous prime (3488068861) and next prime (3488068867).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3488068861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1099 + ... + 83530.

It is an arithmetic number, because the mean of its divisors is an integer number (115322480).

Almost surely, 23488068864 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 3488068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151609280).

3488068864 is an abundant number, since it is smaller than the sum of its proper divisors (4815149696).

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

3488068864 is an equidigital number, since it uses as much as digits as its factorization.

3488068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84675 (or 84661 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The square root of 3488068864 is about 59059.8752453813. The cubic root of 3488068864 is about 1516.5672858334.

The spelling of 3488068864 in words is "three billion, four hundred eighty-eight million, sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1472 1792 2576 2944 5152 5888 10304 20608 41216 84629 169258 338516 592403 677032 1184806 1354064 1946467 2369612 2708128 3892934 4739224 5416256 7785868 9478448 10832512 13625269 15571736 18956896 21665024 27250538 31143472 37913792 54501076 62286944 75827584 109002152 124573888 151655168 218004304 249147776 436008608 498295552 872017216 1744034432 3488068864