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34074000 = 243353631
BaseRepresentation
bin1000000111111…
…0110110010000
32101010010202000
42001332312100
532210332000
63214154000
7562424052
oct201766620
971103660
1034074000
1118263334
12b4b2900
1370a043c
14474d8d2
152ed1000
hex207ed90

34074000 has 160 divisors (see below), whose sum is σ = 122254080. Its totient is φ = 9072000.

The previous prime is 34073999. The next prime is 34074023. The reversal of 34074000 is 47043.

It is a super-2 number, since 2×340740002 = 2322074952000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53685 + ... + 54315.

It is an arithmetic number, because the mean of its divisors is an integer number (764088).

Almost surely, 234074000 is an apocalyptic number.

34074000 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 34074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61127040).

34074000 is an abundant number, since it is smaller than the sum of its proper divisors (88180080).

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

34074000 is a wasteful number, since it uses less digits than its factorization.

34074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 34074000 is about 5837.2938935777. The cubic root of 34074000 is about 324.1960404813.

The spelling of 34074000 in words is "thirty-four million, seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 631 675 720 750 900 1000 1080 1125 1200 1262 1350 1500 1800 1893 2000 2160 2250 2524 2700 3000 3155 3375 3600 3786 4500 5048 5400 5679 6000 6310 6750 7572 9000 9465 10096 10800 11358 12620 13500 15144 15775 17037 18000 18930 22716 25240 27000 28395 30288 31550 34074 37860 45432 47325 50480 54000 56790 63100 68148 75720 78875 85185 90864 94650 113580 126200 136296 141975 151440 157750 170370 189300 227160 236625 252400 272592 283950 315500 340740 378600 425925 454320 473250 567900 631000 681480 709875 757200 851850 946500 1135800 1262000 1362960 1419750 1703700 1893000 2129625 2271600 2839500 3407400 3786000 4259250 5679000 6814800 8518500 11358000 17037000 34074000