Search a number
-
+
34155132 = 22311416311
BaseRepresentation
bin1000001001001…
…0101001111100
32101021021000220
42002102221330
532220431012
63220021340
7563212434
oct202225174
971237026
1034155132
1118309290
12b531850
1370cb34b
1447712c4
152eea08c
hex2092a7c

34155132 has 48 divisors (see below), whose sum is σ = 89074944. Its totient is φ = 10096000.

The previous prime is 34155131. The next prime is 34155133. The reversal of 34155132 is 23155143.

It is an interprime number because it is at equal distance from previous prime (34155131) and next prime (34155133).

It is a super-3 number, since 3×341551323 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34155131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2257 + ... + 8567.

It is an arithmetic number, because the mean of its divisors is an integer number (1855728).

Almost surely, 234155132 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 34155132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44537472).

34155132 is an abundant number, since it is smaller than the sum of its proper divisors (54919812).

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

34155132 is a wasteful number, since it uses less digits than its factorization.

34155132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6368 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 34155132 is about 5844.2392148166. The cubic root of 34155132 is about 324.4531458471.

The spelling of 34155132 in words is "thirty-four million, one hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 6311 12622 18933 25244 37866 69421 75732 138842 208263 258751 277684 416526 517502 776253 833052 1035004 1552506 2846261 3105012 5692522 8538783 11385044 17077566 34155132