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34134948 = 22324322051
BaseRepresentation
bin1000001000110…
…1101110100100
32101020020100100
42002031232210
532214304243
63215344100
7563066541
oct202155644
971206310
1034134948
11182a5101
12b522030
1370c20c3
144767bc8
152ee40d3
hex208dba4

34134948 has 36 divisors (see below), whose sum is σ = 88296208. Its totient is φ = 11113200.

The previous prime is 34134923. The next prime is 34134949. The reversal of 34134948 is 84943143.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34134949) 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 11 ways as a sum of consecutive naturals, for example, 9478 + ... + 12573.

Almost surely, 234134948 is an apocalyptic number.

It is an amenable number.

34134948 is an abundant number, since it is smaller than the sum of its proper divisors (54161260).

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

34134948 is a wasteful number, since it uses less digits than its factorization.

34134948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22104 (or 22099 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34134948 is about 5842.5121309245. The cubic root of 34134948 is about 324.3892213129.

The spelling of 34134948 in words is "thirty-four million, one hundred thirty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 22051 44102 66153 88204 132306 198459 264612 396918 793836 948193 1896386 2844579 3792772 5689158 8533737 11378316 17067474 34134948