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34021240 = 23511167463
BaseRepresentation
bin1000000111000…
…1111101111000
32101000110100221
42001301331320
532202134430
63213105424
7562114201
oct201617570
971013327
1034021240
1118227730
12b488274
137082416
1447385a8
152ec057a
hex2071f78

34021240 has 64 divisors (see below), whose sum is σ = 84188160. Its totient is φ = 12270720.

The previous prime is 34021231. The next prime is 34021259. The reversal of 34021240 is 4212043.

34021240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340212402 = 2314889542275200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 73249 + ... + 73711.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 234021240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094080).

34021240 is an abundant number, since it is smaller than the sum of its proper divisors (50166920).

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

34021240 is a wasteful number, since it uses less digits than its factorization.

34021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34021240 is about 5832.7729254618. The cubic root of 34021240 is about 324.0286262367.

Adding to 34021240 its reverse (4212043), we get a palindrome (38233283).

The spelling of 34021240 in words is "thirty-four million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 463 668 835 926 1336 1670 1837 1852 2315 3340 3674 3704 4630 5093 6680 7348 9185 9260 10186 14696 18370 18520 20372 25465 36740 40744 50930 73480 77321 101860 154642 203720 309284 386605 618568 773210 850531 1546420 1701062 3092840 3402124 4252655 6804248 8505310 17010620 34021240