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3123303414 = 2372115916369
BaseRepresentation
bin1011101000101001…
…1101001111110110
322001200001020211020
42322022131033312
522344031202124
61233531122010
7140253432600
oct27212351766
98050036736
103123303414
1113630290a0
12731ba3306
133aa0c6c3a
14218b42170
151342ed379
hexba29d3f6

3123303414 has 96 divisors (see below), whose sum is σ = 8061897600. Its totient is φ = 797448960.

The previous prime is 3123303401. The next prime is 3123303437. The reversal of 3123303414 is 4143033213.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 182622 + ... + 198990.

It is an arithmetic number, because the mean of its divisors is an integer number (83978100).

Almost surely, 23123303414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123303414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030948800).

3123303414 is an abundant number, since it is smaller than the sum of its proper divisors (4938594186).

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

3123303414 is a wasteful number, since it uses less digits than its factorization.

3123303414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16458 (or 16451 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3123303414 is about 55886.5226508145. The cubic root of 3123303414 is about 1461.7442426750.

Adding to 3123303414 its reverse (4143033213), we get a palindrome (7266336627).

The spelling of 3123303414 in words is "three billion, one hundred twenty-three million, three hundred three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 59 66 77 98 118 147 154 177 231 294 354 413 462 539 649 826 1078 1239 1298 1617 1947 2478 2891 3234 3894 4543 5782 8673 9086 13629 16369 17346 27258 31801 32738 49107 63602 95403 98214 114583 180059 190806 229166 343749 360118 540177 687498 802081 965771 1080354 1260413 1604162 1931542 2406243 2520826 2897313 3781239 4812486 5794626 6760397 7562478 8822891 10623481 13520794 17645782 20281191 21246962 26468673 31870443 40562382 47322779 52937346 63740886 74364367 94645558 141968337 148728734 223093101 283936674 446186202 520550569 1041101138 1561651707 3123303414