Search a number
-
+
34233310332 = 223213255728607
BaseRepresentation
bin11111111000011101…
…101101110001111100
310021100210000100102200
4133320131231301330
51030102211412312
623420534351500
72321222223324
oct377035556174
9107323010380
1034233310332
11135778a1811
1267747bb590
1332c7434760
14192a772284
15d555d80dc
hex7f876dc7c

34233310332 has 72 divisors (see below), whose sum is σ = 93230382336. Its totient is φ = 10528838784.

The previous prime is 34233310273. The next prime is 34233310339. The reversal of 34233310332 is 23301333243.

It is a happy number.

34233310332 is a `hidden beast` number, since 342 + 3 + 3 + 310 + 3 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34233310296 and 34233310305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34233310339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182373 + ... + 1210979.

Almost surely, 234233310332 is an apocalyptic number.

It is an amenable number.

34233310332 is an abundant number, since it is smaller than the sum of its proper divisors (58997072004).

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

34233310332 is a wasteful number, since it uses less digits than its factorization.

34233310332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31187 (or 31182 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 34233310332 its reverse (23301333243), we get a palindrome (57534643575).

The spelling of 34233310332 in words is "thirty-four billion, two hundred thirty-three million, three hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2557 5114 7671 10228 15342 23013 28607 30684 33241 46026 57214 66482 85821 92052 99723 114428 132964 171642 199446 257463 299169 343284 371891 398892 514926 598338 743782 1029852 1115673 1196676 1487564 2231346 3347019 4462692 6694038 13388076 73148099 146296198 219444297 292592396 438888594 658332891 877777188 950925287 1316665782 1901850574 2633331564 2852775861 3803701148 5705551722 8558327583 11411103444 17116655166 34233310332