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423480000 = 263543529
BaseRepresentation
bin11001001111011…
…100101011000000
31002111212000100110
4121033130223000
51331402330000
6110004351320
713331343366
oct3117345300
91074760313
10423480000
111a8052879
12b99a5540
13699729a8
1440357636
15272a0850
hex193dcac0

423480000 has 140 divisors (see below), whose sum is σ = 1400520440. Its totient is φ = 112896000.

The previous prime is 423479989. The next prime is 423480007. The reversal of 423480000 is 84324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (423480007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118236 + ... + 121764.

Almost surely, 2423480000 is an apocalyptic number.

423480000 is a gapful number since it is divisible by the number (40) 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 423480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700260220).

423480000 is an abundant number, since it is smaller than the sum of its proper divisors (977040440).

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

423480000 is an equidigital number, since it uses as much as digits as its factorization.

423480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 423480000 is about 20578.6296919887. The cubic root of 423480000 is about 750.9499075042.

The spelling of 423480000 in words is "four hundred twenty-three million, four hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3529 3750 4000 4800 5000 6000 7058 7500 8000 10000 10587 12000 14116 15000 17645 20000 21174 24000 28232 30000 35290 40000 42348 52935 56464 60000 70580 84696 88225 105870 112928 120000 141160 169392 176450 211740 225856 264675 282320 338784 352900 423480 441125 529350 564640 677568 705800 846960 882250 1058700 1129280 1323375 1411600 1693920 1764500 2117400 2205625 2646750 2823200 3387840 3529000 4234800 4411250 5293500 5646400 6616875 7058000 8469600 8822500 10587000 13233750 14116000 16939200 17645000 21174000 26467500 28232000 35290000 42348000 52935000 70580000 84696000 105870000 141160000 211740000 423480000