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34052670 = 2335294349
BaseRepresentation
bin1000000111100…
…1101000111110
32101002001111000
42001321220332
532204141140
63213511130
7562304631
oct201715076
971061430
1034052670
1118249303
12b4a24a6
137093812
144745c18
152ec9a30
hex2079a3e

34052670 has 64 divisors (see below), whose sum is σ = 93960000. Its totient is φ = 8765568.

The previous prime is 34052647. The next prime is 34052743. The reversal of 34052670 is 7625043.

It is a happy number.

34052670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5656 + ... + 10004.

It is an arithmetic number, because the mean of its divisors is an integer number (1468125).

Almost surely, 234052670 is an apocalyptic number.

34052670 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 34052670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46980000).

34052670 is an abundant number, since it is smaller than the sum of its proper divisors (59907330).

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

34052670 is a wasteful number, since it uses less digits than its factorization.

34052670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34052670 is about 5835.4665623239. The cubic root of 34052670 is about 324.1283784812.

The spelling of 34052670 in words is "thirty-four million, fifty-two thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 4349 7830 8698 13047 21745 26094 39141 43490 65235 78282 117423 126121 130470 195705 234846 252242 378363 391410 587115 630605 756726 1135089 1174230 1261210 1891815 2270178 3405267 3783630 5675445 6810534 11350890 17026335 34052670