[go: up one dir, main page]

Search a number
-
+
34725348 = 2234761251
BaseRepresentation
bin1000010001110…
…1110111100100
32102100020020000
42010131313210
532342202343
63240141300
7601106040
oct204356744
972306200
1034725348
1118668739
12b767830
13726aa58
14487d020
1530aded3
hex211dde4

34725348 has 120 divisors (see below), whose sum is σ = 105868224. Its totient is φ = 9720000.

The previous prime is 34725347. The next prime is 34725367. The reversal of 34725348 is 84352743.

It is a happy number.

34725348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×347253482 = 2411699587442208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34725347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138223 + ... + 138473.

Almost surely, 234725348 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 34725348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934112).

34725348 is an abundant number, since it is smaller than the sum of its proper divisors (71142876).

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

34725348 is a wasteful number, since it uses less digits than its factorization.

34725348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 34725348 is about 5892.8217349586. The cubic root of 34725348 is about 326.2487594087.

The spelling of 34725348 in words is "thirty-four million, seven hundred twenty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 244 251 252 324 366 378 427 502 549 567 732 753 756 854 1004 1098 1134 1281 1506 1647 1708 1757 2196 2259 2268 2562 3012 3294 3514 3843 4518 4941 5124 5271 6588 6777 7028 7686 9036 9882 10542 11529 13554 15311 15372 15813 19764 20331 21084 23058 27108 30622 31626 34587 40662 45933 46116 47439 61244 63252 69174 81324 91866 94878 107177 137799 138348 142317 183732 189756 214354 275598 284634 321531 413397 428708 551196 569268 643062 826794 964593 1240191 1286124 1653588 1929186 2480382 2893779 3858372 4960764 5787558 8681337 11575116 17362674 34725348