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423280320 = 26352711627
BaseRepresentation
bin11001001110101…
…011111011000000
31002111110212102220
4121032223323000
51331324432240
6110000211040
713326552261
oct3116537300
91074425386
10423280320
111a7a26851
12b9909a80
1369902b38
1440304968
15272615d0
hex193abec0

423280320 has 112 divisors (see below), whose sum is σ = 1349703168. Its totient is φ = 112389120.

The previous prime is 423280303. The next prime is 423280343. The reversal of 423280320 is 23082324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259347 + ... + 260973.

Almost surely, 2423280320 is an apocalyptic number.

423280320 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 423280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674851584).

423280320 is an abundant number, since it is smaller than the sum of its proper divisors (926422848).

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

423280320 is a wasteful number, since it uses less digits than its factorization.

423280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 423280320 is about 20573.7774849443. Note that the first 3 decimals coincide. The cubic root of 423280320 is about 750.8318592281.

The spelling of 423280320 in words is "four hundred twenty-three million, two hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 271 320 480 542 813 960 1084 1355 1626 1627 2168 2710 3252 3254 4065 4336 4881 5420 6504 6508 8130 8135 8672 9762 10840 13008 13016 16260 16270 17344 19524 21680 24405 26016 26032 32520 32540 39048 43360 48810 52032 52064 65040 65080 78096 86720 97620 104128 130080 130160 156192 195240 260160 260320 312384 390480 440917 520640 780960 881834 1322751 1561920 1763668 2204585 2645502 3527336 4409170 5291004 6613755 7054672 8818340 10582008 13227510 14109344 17636680 21164016 26455020 28218688 35273360 42328032 52910040 70546720 84656064 105820080 141093440 211640160 423280320