Search a number
-
+
132234312 = 23374716747
BaseRepresentation
bin1111110000110…
…11110001001000
3100012211012101010
413320123301020
5232322444222
621042123520
73163654530
oct770336110
9305735333
10132234312
1168708661
12383505a0
132151b772
14137c24c0
15b92080c
hex7e1bc48

132234312 has 64 divisors (see below), whose sum is σ = 385873920. Its totient is φ = 36975168.

The previous prime is 132234301. The next prime is 132234341. The reversal of 132234312 is 213432231.

It is a super-2 number, since 2×1322343122 = 34971826540226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478 + ... + 16269.

It is an arithmetic number, because the mean of its divisors is an integer number (6029280).

Almost surely, 2132234312 is an apocalyptic number.

132234312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132234312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192936960).

132234312 is an abundant number, since it is smaller than the sum of its proper divisors (253639608).

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

132234312 is a wasteful number, since it uses less digits than its factorization.

132234312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16810 (or 16806 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 132234312 is about 11499.3178928143. The cubic root of 132234312 is about 509.4654298757.

Adding to 132234312 its reverse (213432231), we get a palindrome (345666543).

The spelling of 132234312 in words is "one hundred thirty-two million, two hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 16747 33494 50241 66988 100482 117229 133976 200964 234458 351687 401928 468916 703374 787109 937832 1406748 1574218 2361327 2813496 3148436 4722654 5509763 6296872 9445308 11019526 16529289 18890616 22039052 33058578 44078104 66117156 132234312