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34971040 = 25513172343
BaseRepresentation
bin1000010101100…
…1110110100000
32102210201020201
42011121312200
532423033130
63245314544
7603151246
oct205316640
972721221
1034971040
1118816295
12b865a54
137325830
144904796
15310bbca
hex2159da0

34971040 has 192 divisors, whose sum is σ = 100590336. Its totient is φ = 11354112.

The previous prime is 34971029. The next prime is 34971047. The reversal of 34971040 is 4017943.

It is not an unprimeable number, because it can be changed into a prime (34971047) 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, 813259 + ... + 813301.

It is an arithmetic number, because the mean of its divisors is an integer number (523908).

Almost surely, 234971040 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 34971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50295168).

34971040 is an abundant number, since it is smaller than the sum of its proper divisors (65619296).

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

34971040 is a wasteful number, since it uses less digits than its factorization.

34971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 34971040 is about 5913.6317098717. The cubic root of 34971040 is about 327.0163870000.

Adding to 34971040 its reverse (4017943), we get a palindrome (38988983).

The spelling of 34971040 in words is "thirty-four million, nine hundred seventy-one thousand, forty".