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34485147 = 3229373571
BaseRepresentation
bin1000001110001…
…1001110011011
32101220000201200
42003203032123
532312011042
63231045243
7566055534
oct203431633
971800650
1034485147
1118514224
12b670823
1371b5618
14481968b
153062c4c
hex20e339b

34485147 has 24 divisors (see below), whose sum is σ = 52937040. Its totient is φ = 21591360.

The previous prime is 34485103. The next prime is 34485151. The reversal of 34485147 is 74158443.

34485147 is a `hidden beast` number, since 34 + 485 + 147 = 666.

34485147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34485147 - 26 = 34485083 is a prime.

It is a super-2 number, since 2×344851472 = 2378450727223218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34485167) 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 23 ways as a sum of consecutive naturals, for example, 7872 + ... + 11442.

It is an arithmetic number, because the mean of its divisors is an integer number (2205710).

Almost surely, 234485147 is an apocalyptic number.

34485147 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

34485147 is a deficient number, since it is larger than the sum of its proper divisors (18451893).

34485147 is a wasteful number, since it uses less digits than its factorization.

34485147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3640 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 34485147 is about 5872.4055547961. The cubic root of 34485147 is about 325.4947793056.

It can be divided in two parts, 344 and 85147, that added together give a triangular number (85491 = T413).

The spelling of 34485147 in words is "thirty-four million, four hundred eighty-five thousand, one hundred forty-seven".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 3571 9657 10713 32139 103559 132127 310677 396381 932031 1189143 3831683 11495049 34485147