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3243123312 = 2431121342953
BaseRepresentation
bin1100000101001110…
…0010001001110000
322101000111201211020
43001103202021300
523120214421222
61253451215440
7143240044002
oct30123421160
98330451736
103243123312
111414727600
12766147580
133c8b89ba0
1422aa12372
1513eaba65c
hexc14e2270

3243123312 has 120 divisors (see below), whose sum is σ = 9917563152. Its totient is φ = 907146240.

The previous prime is 3243123277. The next prime is 3243123343. The reversal of 3243123312 is 2133213423.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54028 + ... + 96980.

Almost surely, 23243123312 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 3243123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958781576).

3243123312 is an abundant number, since it is smaller than the sum of its proper divisors (6674439840).

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

3243123312 is a wasteful number, since it uses less digits than its factorization.

3243123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42999 (or 42982 counting only the distinct ones).

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

The square root of 3243123312 is about 56948.4267737046. The cubic root of 3243123312 is about 1480.2025702760.

Adding to 3243123312 its reverse (2133213423), we get a palindrome (5376336735).

The spelling of 3243123312 in words is "three billion, two hundred forty-three million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 968 1144 1452 1573 1716 1936 2288 2904 3146 3432 4719 5808 6292 6864 9438 12584 18876 25168 37752 42953 75504 85906 128859 171812 257718 343624 472483 515436 558389 687248 944966 1030872 1116778 1417449 1675167 1889932 2061744 2233556 2834898 3350334 3779864 4467112 5197313 5669796 6142279 6700668 7559728 8934224 10394626 11339592 12284558 13401336 15591939 18426837 20789252 22679184 24569116 26802672 31183878 36853674 41578504 49138232 62367756 67565069 73707348 83157008 98276464 124735512 135130138 147414696 202695207 249471024 270260276 294829392 405390414 540520552 810780828 1081041104 1621561656 3243123312