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34043040 = 2532547503
BaseRepresentation
bin1000000111011…
…1010010100000
32101001120021100
42001313102200
532203334130
63213354400
7562234563
oct201672240
971046240
1034043040
1118242049
12b498a00
13708c315
1447424da
152ec6c60
hex20774a0

34043040 has 144 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 8867328.

The previous prime is 34043033. The next prime is 34043069. The reversal of 34043040 is 4034043.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67429 + ... + 67931.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 234043040 is an apocalyptic number.

34043040 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 34043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

34043040 is an abundant number, since it is smaller than the sum of its proper divisors (84836448).

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

34043040 is a wasteful number, since it uses less digits than its factorization.

34043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34043040 is about 5834.6413771542. The cubic root of 34043040 is about 324.0978214004.

Adding to 34043040 its reverse (4034043), we get a palindrome (38077083).

The spelling of 34043040 in words is "thirty-four million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 503 564 705 720 752 846 940 1006 1128 1410 1440 1504 1509 1692 1880 2012 2115 2256 2515 2820 3018 3384 3760 4024 4230 4512 4527 5030 5640 6036 6768 7520 7545 8048 8460 9054 10060 11280 12072 13536 15090 16096 16920 18108 20120 22560 22635 23641 24144 30180 33840 36216 40240 45270 47282 48288 60360 67680 70923 72432 80480 90540 94564 118205 120720 141846 144864 181080 189128 212769 236410 241440 283692 354615 362160 378256 425538 472820 567384 709230 724320 756512 851076 945640 1063845 1134768 1418460 1702152 1891280 2127690 2269536 2836920 3404304 3782560 4255380 5673840 6808608 8510760 11347680 17021520 34043040