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34327132 = 22723151353
BaseRepresentation
bin1000001011110…
…0101001011100
32101120222222021
42002330221130
532241432012
63223425524
7564530050
oct202745134
971528867
1034327132
1118416534
12b5b52a4
13715b718
1447b7c60
153031007
hex20bca5c

34327132 has 48 divisors (see below), whose sum is σ = 72317952. Its totient is φ = 13939200.

The previous prime is 34327103. The next prime is 34327133. The reversal of 34327132 is 23172343.

It is a super-3 number, since 3×343271323 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34327097 and 34327106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34327133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97068 + ... + 97420.

It is an arithmetic number, because the mean of its divisors is an integer number (1506624).

Almost surely, 234327132 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 34327132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36158976).

34327132 is an abundant number, since it is smaller than the sum of its proper divisors (37990820).

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

34327132 is a wasteful number, since it uses less digits than its factorization.

34327132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its digits is 3024, while the sum is 25.

The square root of 34327132 is about 5858.9360808939. The cubic root of 34327132 is about 324.9968662420.

Adding to 34327132 its reverse (23172343), we get a palindrome (57499475).

The spelling of 34327132 in words is "thirty-four million, three hundred twenty-seven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 151 161 302 322 353 604 644 706 1057 1412 2114 2471 3473 4228 4942 6946 8119 9884 13892 16238 24311 32476 48622 53303 56833 97244 106606 113666 213212 227332 373121 746242 1225969 1492484 2451938 4903876 8581783 17163566 34327132