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34901973 = 328943573
BaseRepresentation
bin1000010100100…
…0111111010101
32102200012111200
42011020333111
532413330343
63244023113
7602443011
oct205107725
972605450
1034901973
1118779407
12b831a99
137300272
1448c7541
1530e64d3
hex2148fd5

34901973 has 12 divisors (see below), whose sum is σ = 50981580. Its totient is φ = 23006016.

The previous prime is 34901959. The next prime is 34902011. The reversal of 34901973 is 37910943.

34901973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2377764 + 32524209 = 1542^2 + 5703^2 .

It is a de Polignac number, because none of the positive numbers 2k-34901973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34906973) 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 11 ways as a sum of consecutive naturals, for example, 20986 + ... + 22587.

It is an arithmetic number, because the mean of its divisors is an integer number (4248465).

Almost surely, 234901973 is an apocalyptic number.

It is an amenable number.

34901973 is a deficient number, since it is larger than the sum of its proper divisors (16079607).

34901973 is a wasteful number, since it uses less digits than its factorization.

34901973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43668 (or 43665 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 34901973 is about 5907.7891803957. The cubic root of 34901973 is about 326.8009618357.

The spelling of 34901973 in words is "thirty-four million, nine hundred one thousand, nine hundred seventy-three".

Divisors: 1 3 9 89 267 801 43573 130719 392157 3877997 11633991 34901973