Search a number
-
+
3214312332 = 22371117212037
BaseRepresentation
bin1011111110010110…
…1000001110001100
322022000021222120220
42333211220032030
523040330443312
61250541511340
7142440126660
oct27745501614
98260258526
103214312332
1113aa439480
12758572550
133c2c1017a
14226c728a0
1513c2c8c8c
hexbf96838c

3214312332 has 144 divisors (see below), whose sum is σ = 9933950208. Its totient is φ = 785710080.

The previous prime is 3214312331. The next prime is 3214312333. The reversal of 3214312332 is 2332134123.

It is an interprime number because it is at equal distance from previous prime (3214312331) and next prime (3214312333).

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

It is not an unprimeable number, because it can be changed into a prime (3214312331) 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 47 ways as a sum of consecutive naturals, for example, 261018 + ... + 273054.

Almost surely, 23214312332 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 3214312332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966975104).

3214312332 is an abundant number, since it is smaller than the sum of its proper divisors (6719637876).

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

3214312332 is a wasteful number, since it uses less digits than its factorization.

3214312332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096 (or 12077 counting only the distinct ones).

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

The square root of 3214312332 is about 56694.9056970730. The cubic root of 3214312332 is about 1475.8062939369.

Adding to 3214312332 its reverse (2332134123), we get a palindrome (5546446455).

The spelling of 3214312332 in words is "three billion, two hundred fourteen million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 289 308 357 374 462 476 561 578 714 748 867 924 1122 1156 1309 1428 1734 2023 2244 2618 3179 3468 3927 4046 5236 6069 6358 7854 8092 9537 12037 12138 12716 15708 19074 22253 24074 24276 36111 38148 44506 48148 66759 72222 84259 89012 132407 133518 144444 168518 204629 252777 264814 267036 337036 397221 409258 505554 529628 613887 794442 818516 926849 1011108 1227774 1432403 1588884 1853698 2250919 2455548 2780547 2864806 3478693 3707396 4297209 4501838 5561094 5729612 6752757 6957386 8594418 9003676 10436079 11122188 13505514 13914772 15756433 17188836 20872158 24350851 27011028 31512866 38265623 41744316 47269299 48701702 63025732 73052553 76531246 94538598 97403404 114796869 146105106 153062492 189077196 229593738 267859361 292210212 459187476 535718722 803578083 1071437444 1607156166 3214312332