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330506240 = 21358069
BaseRepresentation
bin10011101100110…
…010000000000000
3212000220110022212
4103230302000000
51134102144430
652443521252
711122154021
oct2354620000
9760813285
10330506240
1115a620259
1292829228
135361c32c
1431c74c48
151e037b95
hex13b32000

330506240 has 56 divisors (see below), whose sum is σ = 793264860. Its totient is φ = 132186112.

The previous prime is 330506227. The next prime is 330506291. The reversal of 330506240 is 42605033.

It can be written as a sum of positive squares in 2 ways, for example, as 270536704 + 59969536 = 16448^2 + 7744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36926 + ... + 44994.

Almost surely, 2330506240 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 330506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396632430).

330506240 is an abundant number, since it is smaller than the sum of its proper divisors (462758620).

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

330506240 is an frugal number, since it uses more digits than its factorization.

330506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 330506240 is about 18179.8305822689. The cubic root of 330506240 is about 691.3955093945.

The spelling of 330506240 in words is "three hundred thirty million, five hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8069 8192 10240 16138 20480 32276 40345 40960 64552 80690 129104 161380 258208 322760 516416 645520 1032832 1291040 2065664 2582080 4131328 5164160 8262656 10328320 16525312 20656640 33050624 41313280 66101248 82626560 165253120 330506240