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34021140 = 22352389277
BaseRepresentation
bin1000000111000…
…1111100010100
32101000110020020
42001301330110
532202134030
63213105140
7562113666
oct201617424
971013206
1034021140
111822764a
12b4881b0
13708236a
144738536
152ec0510
hex2071f14

34021140 has 96 divisors (see below), whose sum is σ = 100880640. Its totient is φ = 8549376.

The previous prime is 34021133. The next prime is 34021151. The reversal of 34021140 is 4112043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 122682 + ... + 122958.

It is an arithmetic number, because the mean of its divisors is an integer number (1050840).

Almost surely, 234021140 is an apocalyptic number.

34021140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50440320).

34021140 is an abundant number, since it is smaller than the sum of its proper divisors (66859500).

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

34021140 is a wasteful number, since it uses less digits than its factorization.

34021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34021140 is about 5832.7643532034. The cubic root of 34021140 is about 324.0283087596.

Adding to 34021140 its reverse (4112043), we get a palindrome (38133183).

The spelling of 34021140 in words is "thirty-four million, twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 89 92 115 138 178 230 267 276 277 345 356 445 460 534 554 690 831 890 1068 1108 1335 1380 1385 1662 1780 2047 2670 2770 3324 4094 4155 5340 5540 6141 6371 8188 8310 10235 12282 12742 16620 19113 20470 24564 24653 25484 30705 31855 38226 40940 49306 61410 63710 73959 76452 95565 98612 122820 123265 127420 147918 191130 246530 295836 369795 382260 493060 567019 739590 1134038 1479180 1701057 2268076 2835095 3402114 5670190 6804228 8505285 11340380 17010570 34021140