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34253466 = 23131929797
BaseRepresentation
bin1000001010101…
…0101010011010
32101110020220220
42002222222122
532232102331
63222100510
7564102222
oct202525232
971406826
1034253466
1118376155
12b57a736
137134030
144799082
153019296
hex20aaa9a

34253466 has 64 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 9628416.

The previous prime is 34253449. The next prime is 34253473. The reversal of 34253466 is 66435243.

It is an unprimeable number.

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, 42580 + ... + 43376.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 234253466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34253466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

34253466 is an abundant number, since it is smaller than the sum of its proper divisors (46184934).

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

34253466 is a wasteful number, since it uses less digits than its factorization.

34253466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863.

The product of its digits is 51840, while the sum is 33.

The square root of 34253466 is about 5852.6460682327. The cubic root of 34253466 is about 324.7642187302.

The spelling of 34253466 in words is "thirty-four million, two hundred fifty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 19 26 29 38 39 57 58 78 87 114 174 247 377 494 551 741 754 797 1102 1131 1482 1594 1653 2262 2391 3306 4782 7163 10361 14326 15143 20722 21489 23113 30286 31083 42978 45429 46226 62166 69339 90858 138678 196859 300469 393718 439147 590577 600938 878294 901407 1181154 1317441 1802814 2634882 5708911 11417822 17126733 34253466