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3102341312 = 26724012467
BaseRepresentation
bin1011100011101001…
…1111100011000000
322000012121021020002
42320322133203000
522323144410222
61231501535132
7136610315600
oct27072374300
98005537202
103102341312
111352210a44
12726b744a8
133a5967925
14216046c00
1513255c392
hexb8e9f8c0

3102341312 has 84 divisors (see below), whose sum is σ = 7182072504. Its totient is φ = 1325721600.

The previous prime is 3102341311. The next prime is 3102341317. The reversal of 3102341312 is 2131432013.

3102341312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31023413122 = 19249043232283762688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3102341311) 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, 1256303 + ... + 1258769.

Almost surely, 23102341312 is an apocalyptic number.

3102341312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591036252).

3102341312 is an abundant number, since it is smaller than the sum of its proper divisors (4079731192).

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

3102341312 is a wasteful number, since it uses less digits than its factorization.

3102341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3102341312 is about 55698.6652622843. The cubic root of 3102341312 is about 1458.4667258605.

Adding to 3102341312 its reverse (2131432013), we get a palindrome (5233773325).

The spelling of 3102341312 in words is "three billion, one hundred two million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 401 448 784 802 1568 1604 2467 2807 3136 3208 4934 5614 6416 9868 11228 12832 17269 19649 19736 22456 25664 34538 39298 39472 44912 69076 78596 78944 89824 120883 138152 157192 157888 179648 241766 276304 314384 483532 552608 628768 967064 989267 1105216 1257536 1934128 1978534 3868256 3957068 6924869 7736512 7914136 13849738 15828272 27699476 31656544 48474083 55398952 63313088 96948166 110797904 193896332 221595808 387792664 443191616 775585328 1551170656 3102341312