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34325312 = 267174507
BaseRepresentation
bin1000001011110…
…0001101000000
32101120220110212
42002330031000
532241402222
63223413252
7564521540
oct202741500
971526425
1034325312
111841512a
12b5b4228
13715a948
1447b7320
1530306e2
hex20bc340

34325312 has 56 divisors (see below), whose sum is σ = 82442304. Its totient is φ = 13842432.

The previous prime is 34325297. The next prime is 34325321. The reversal of 34325312 is 21352343.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5363 + ... + 9869.

It is an arithmetic number, because the mean of its divisors is an integer number (1472184).

Almost surely, 234325312 is an apocalyptic number.

34325312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41221152).

34325312 is an abundant number, since it is smaller than the sum of its proper divisors (48116992).

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

34325312 is a wasteful number, since it uses less digits than its factorization.

34325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4533 counting only the distinct ones).

The product of its digits is 2160, while the sum is 23.

The square root of 34325312 is about 5858.7807605337. The cubic root of 34325312 is about 324.9911224400.

Adding to 34325312 its reverse (21352343), we get a palindrome (55677655).

The spelling of 34325312 in words is "thirty-four million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 4507 7616 9014 18028 31549 36056 63098 72112 76619 126196 144224 153238 252392 288448 306476 504784 536333 612952 1009568 1072666 1225904 2019136 2145332 2451808 4290664 4903616 8581328 17162656 34325312