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3474334000 = 245323471607
BaseRepresentation
bin1100111100010110…
…0010000100110000
322222010120110021001
43033011202010300
524103412142000
61332431011344
7152045231434
oct31705420460
98863513231
103474334000
111523197615
1280b669b54
13434a51247
1424d5da9c4
1515503c46a
hexcf162130

3474334000 has 160 divisors (see below), whose sum is σ = 8958283776. Its totient is φ = 1300217600.

The previous prime is 3474333991. The next prime is 3474334001. The reversal of 3474334000 is 4334743.

It is a self number, because there is not a number n which added to its sum of digits gives 3474334000.

It is not an unprimeable number, because it can be changed into a prime (3474334001) by changing a digit.

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, 2161197 + ... + 2162803.

Almost surely, 23474334000 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 3474334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479141888).

3474334000 is an abundant number, since it is smaller than the sum of its proper divisors (5483949776).

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

3474334000 is a wasteful number, since it uses less digits than its factorization.

3474334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 3474334000 is about 58943.4814037990. The cubic root of 3474334000 is about 1514.5740868695.

Adding to 3474334000 its reverse (4334743), we get a palindrome (3478668743).

The spelling of 3474334000 in words is "three billion, four hundred seventy-four million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 47 50 80 92 94 100 115 125 184 188 200 230 235 250 368 376 400 460 470 500 575 752 920 940 1000 1081 1150 1175 1607 1840 1880 2000 2162 2300 2350 2875 3214 3760 4324 4600 4700 5405 5750 5875 6428 8035 8648 9200 9400 10810 11500 11750 12856 16070 17296 18800 21620 23000 23500 25712 27025 32140 36961 40175 43240 46000 47000 54050 64280 73922 75529 80350 86480 94000 108100 128560 135125 147844 151058 160700 184805 200875 216200 270250 295688 302116 321400 369610 377645 401750 432400 540500 591376 604232 642800 739220 755290 803500 924025 1081000 1208464 1478440 1510580 1607000 1737167 1848050 1888225 2162000 2956880 3021160 3214000 3474334 3696100 3776450 4620125 6042320 6948668 7392200 7552900 8685835 9240250 9441125 13897336 14784400 15105800 17371670 18480500 18882250 27794672 30211600 34743340 36961000 37764500 43429175 69486680 73922000 75529000 86858350 138973360 151058000 173716700 217145875 347433400 434291750 694866800 868583500 1737167000 3474334000