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330280000 = 265423359
BaseRepresentation
bin10011101011111…
…010110001000000
3212000110221222121
4103223322301000
51134022430000
652435014024
711120222311
oct2353726100
9760427877
10330280000
1115a486286
129273a314
135357036b
1431c16608
151dee0b1a
hex13afac40

330280000 has 140 divisors (see below), whose sum is σ = 856975680. Its totient is φ = 126016000.

The previous prime is 330279997. The next prime is 330280031. The reversal of 330280000 is 82033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919821 + ... + 920179.

Almost surely, 2330280000 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 330280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428487840).

330280000 is an abundant number, since it is smaller than the sum of its proper divisors (526695680).

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

330280000 is an equidigital number, since it uses as much as digits as its factorization.

330280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 330280000 is about 18173.6072368696. The cubic root of 330280000 is about 691.2377140630.

The spelling of 330280000 in words is "three hundred thirty million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 359 368 400 460 500 575 625 718 736 800 920 1000 1150 1250 1436 1472 1600 1795 1840 2000 2300 2500 2872 2875 3590 3680 4000 4600 5000 5744 5750 7180 7360 8000 8257 8975 9200 10000 11488 11500 14360 14375 16514 17950 18400 20000 22976 23000 28720 28750 33028 35900 36800 40000 41285 44875 46000 57440 57500 66056 71800 82570 89750 92000 114880 115000 132112 143600 165140 179500 184000 206425 224375 230000 264224 287200 330280 359000 412850 448750 460000 528448 574400 660560 718000 825700 897500 920000 1032125 1321120 1436000 1651400 1795000 2064250 2642240 2872000 3302800 3590000 4128500 5160625 6605600 7180000 8257000 10321250 13211200 14360000 16514000 20642500 33028000 41285000 66056000 82570000 165140000 330280000