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427665330 = 232519724121
BaseRepresentation
bin11001011111011…
…010011110110010
31002210201122112200
4121133122132302
51333440242310
6110234204030
713412044461
oct3137323662
91083648480
10427665330
111aa451324
12bb283616
136a7a9a11
1440b269d8
152782a9c0
hex197da7b2

427665330 has 48 divisors (see below), whose sum is σ = 1117620504. Its totient is φ = 113460480.

The previous prime is 427665323. The next prime is 427665341. The reversal of 427665330 is 33566724.

It can be written as a sum of positive squares in 4 ways, for example, as 400760361 + 26904969 = 20019^2 + 5187^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5670 + ... + 29790.

Almost surely, 2427665330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427665330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558810252).

427665330 is an abundant number, since it is smaller than the sum of its proper divisors (689955174).

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

427665330 is a wasteful number, since it uses less digits than its factorization.

427665330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24331 (or 24328 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 427665330 is about 20680.0708412713. The cubic root of 427665330 is about 753.4157267980.

The spelling of 427665330 in words is "four hundred twenty-seven million, six hundred sixty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 985 1182 1773 1970 2955 3546 5910 8865 17730 24121 48242 72363 120605 144726 217089 241210 361815 434178 723630 1085445 2170890 4751837 9503674 14255511 23759185 28511022 42766533 47518370 71277555 85533066 142555110 213832665 427665330