Search a number
-
+
3132209268 = 22321741432903
BaseRepresentation
bin1011101010110001…
…1011100001110100
322002021210201100200
42322230123201310
522403321144033
61234450040500
7140422224306
oct27254334164
98067721320
103132209268
111368061201
12734b79130
133abbc4786
14219dbd976
15134eac013
hexbab1b874

3132209268 has 144 divisors (see below), whose sum is σ = 8790477696. Its totient is φ = 936069120.

The previous prime is 3132209257. The next prime is 3132209323. The reversal of 3132209268 is 8629022313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1077505 + ... + 1080407.

It is an arithmetic number, because the mean of its divisors is an integer number (61044984).

Almost surely, 23132209268 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 3132209268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395238848).

3132209268 is an abundant number, since it is smaller than the sum of its proper divisors (5658268428).

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

3132209268 is a wasteful number, since it uses less digits than its factorization.

3132209268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3132209268 is about 55966.1439443526. The cubic root of 3132209268 is about 1463.1322737974.

The spelling of 3132209268 in words is "three billion, one hundred thirty-two million, two hundred nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 43 51 68 82 86 102 123 129 153 164 172 204 246 258 306 369 387 492 516 612 697 731 738 774 1394 1462 1476 1548 1763 2091 2193 2788 2903 2924 3526 4182 4386 5289 5806 6273 6579 7052 8364 8709 8772 10578 11612 12546 13158 15867 17418 21156 25092 26127 26316 29971 31734 34836 49351 52254 59942 63468 89913 98702 104508 119023 119884 124829 148053 179826 197404 238046 249658 269739 296106 357069 359652 374487 444159 476092 499316 539478 592212 714138 748974 888318 1071207 1078956 1123461 1428276 1497948 1776636 2023391 2122093 2142414 2246922 4046782 4244186 4284828 4493844 5117989 6070173 6366279 8093564 8488372 10235978 12140346 12732558 15353967 18210519 19098837 20471956 24280692 25465116 30707934 36421038 38197674 46061901 61415868 72842076 76395348 87005813 92123802 174011626 184247604 261017439 348023252 522034878 783052317 1044069756 1566104634 3132209268