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34643052 = 2235291229
BaseRepresentation
bin1000010000100…
…1110001101100
32102012001100000
42010021301230
532332034202
63234304300
7600314103
oct204116154
972161300
1034643052
1118611924
12b728090
13723c462
14485b03a
15309491c
hex2109c6c

34643052 has 72 divisors (see below), whose sum is σ = 94021200. Its totient is φ = 11140416.

The previous prime is 34643051. The next prime is 34643071. The reversal of 34643052 is 25034643.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34643051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27574 + ... + 28802.

It is an arithmetic number, because the mean of its divisors is an integer number (1305850).

Almost surely, 234643052 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 34643052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47010600).

34643052 is an abundant number, since it is smaller than the sum of its proper divisors (59378148).

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

34643052 is a wasteful number, since it uses less digits than its factorization.

34643052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34643052 is about 5885.8348600687. The cubic root of 34643052 is about 325.9908286529.

Adding to 34643052 its reverse (25034643), we get a palindrome (59677695).

The spelling of 34643052 in words is "thirty-four million, six hundred forty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1229 1566 2349 2458 3132 3687 4698 4916 7047 7374 9396 11061 14094 14748 22122 28188 33183 35641 44244 66366 71282 99549 106923 132732 142564 199098 213846 298647 320769 398196 427692 597294 641538 962307 1194588 1283076 1924614 2886921 3849228 5773842 8660763 11547684 17321526 34643052