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34205148 = 22321317253
BaseRepresentation
bin1000001001111…
…0110111011100
32101100210122100
42002132313130
532224031043
63221045100
7563511315
oct202366734
971323570
1034205148
111834291a
12b556790
137118043
14478560c
153009cd3
hex209eddc

34205148 has 36 divisors (see below), whose sum is σ = 87135048. Its totient is φ = 11313120.

The previous prime is 34205147. The next prime is 34205153. The reversal of 34205148 is 84150243.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34205147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090 + ... + 8342.

It is an arithmetic number, because the mean of its divisors is an integer number (2420418).

Almost surely, 234205148 is an apocalyptic number.

It is an amenable number.

34205148 is an abundant number, since it is smaller than the sum of its proper divisors (52929900).

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

34205148 is a wasteful number, since it uses less digits than its factorization.

34205148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 34205148 is about 5848.5167350363. The cubic root of 34205148 is about 324.6114425442.

The spelling of 34205148 in words is "thirty-four million, two hundred five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 7253 14506 21759 29012 43518 65277 87036 130554 261108 950143 1900286 2850429 3800572 5700858 8551287 11401716 17102574 34205148