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34172712 = 2333797233
BaseRepresentation
bin1000001001011…
…0111100101000
32101022011011000
42002112330220
532222011322
63220235000
7563314620
oct202267450
971264130
1034172712
1118320512
12b53ba60
137106352
144777880
1530003ac
hex2096f28

34172712 has 128 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 9621504.

The previous prime is 34172693. The next prime is 34172717. The reversal of 34172712 is 21727143.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (34172717) 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 31 ways as a sum of consecutive naturals, for example, 146548 + ... + 146780.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 234172712 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 34172712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

34172712 is an abundant number, since it is smaller than the sum of its proper divisors (75900888).

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

34172712 is a wasteful number, since it uses less digits than its factorization.

34172712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 34172712 is about 5845.7430665400. The cubic root of 34172712 is about 324.5088027634.

Adding to 34172712 its reverse (21727143), we get a palindrome (55899855).

The spelling of 34172712 in words is "thirty-four million, one hundred seventy-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 97 108 126 168 189 194 216 233 252 291 378 388 466 504 582 679 699 756 776 873 932 1164 1358 1398 1512 1631 1746 1864 2037 2097 2328 2619 2716 2796 3262 3492 4074 4194 4893 5238 5432 5592 6111 6291 6524 6984 8148 8388 9786 10476 12222 12582 13048 14679 16296 16776 18333 19572 20952 22601 24444 25164 29358 36666 39144 44037 45202 48888 50328 58716 67803 73332 88074 90404 117432 135606 146664 158207 176148 180808 203409 271212 316414 352296 406818 474621 542424 610227 632828 813636 949242 1220454 1265656 1423863 1627272 1898484 2440908 2847726 3796968 4271589 4881816 5695452 8543178 11390904 17086356 34172712