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34253370 = 23254353167
BaseRepresentation
bin1000001010101…
…0101000111010
32101110020210100
42002222220322
532232101440
63222100230
7564102024
oct202525072
971406710
1034253370
1118376078
12b57a676
137133c88
144799014
153019230
hex20aaa3a

34253370 has 96 divisors (see below), whose sum is σ = 93405312. Its totient is φ = 8701056.

The previous prime is 34253369. The next prime is 34253377. The reversal of 34253370 is 7335243.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34253377) 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 47 ways as a sum of consecutive naturals, for example, 205027 + ... + 205193.

It is an arithmetic number, because the mean of its divisors is an integer number (972972).

Almost surely, 234253370 is an apocalyptic number.

34253370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34253370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

34253370 is an abundant number, since it is smaller than the sum of its proper divisors (59151942).

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

34253370 is a wasteful number, since it uses less digits than its factorization.

34253370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 34253370 is about 5852.6378668084. The cubic root of 34253370 is about 324.7639153312.

The spelling of 34253370 in words is "thirty-four million, two hundred fifty-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 53 86 90 106 129 159 167 215 258 265 318 334 387 430 477 501 530 645 774 795 835 954 1002 1290 1503 1590 1670 1935 2279 2385 2505 3006 3870 4558 4770 5010 6837 7181 7515 8851 11395 13674 14362 15030 17702 20511 21543 22790 26553 34185 35905 41022 43086 44255 53106 64629 68370 71810 79659 88510 102555 107715 129258 132765 159318 205110 215430 265530 323145 380593 398295 646290 761186 796590 1141779 1902965 2283558 3425337 3805930 5708895 6850674 11417790 17126685 34253370