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345585228 = 223294153457
BaseRepresentation
bin10100100110010…
…011011001001100
3220002021112210220
4110212103121030
51201432211403
654143031340
711364266052
oct2446233114
9802245726
10345585228
1116808a32a
129789b550
135679b901
1433c7c1d2
1520515953
hex1499364c

345585228 has 96 divisors (see below), whose sum is σ = 872544960. Its totient is φ = 106229760.

The previous prime is 345585181. The next prime is 345585239. The reversal of 345585228 is 822585543.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 345585228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755976 + ... + 756432.

It is an arithmetic number, because the mean of its divisors is an integer number (9089010).

Almost surely, 2345585228 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 345585228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436272480).

345585228 is an abundant number, since it is smaller than the sum of its proper divisors (526959732).

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

345585228 is a wasteful number, since it uses less digits than its factorization.

345585228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The square root of 345585228 is about 18589.9227540084. The cubic root of 345585228 is about 701.7542585124.

The spelling of 345585228 in words is "three hundred forty-five million, five hundred eighty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 41 53 58 82 87 106 116 123 159 164 174 212 246 318 348 457 492 636 914 1189 1371 1537 1828 2173 2378 2742 3074 3567 4346 4611 4756 5484 6148 6519 7134 8692 9222 13038 13253 14268 18444 18737 24221 26076 26506 37474 39759 48442 53012 56211 63017 72663 74948 79518 96884 112422 126034 145326 159036 189051 224844 252068 290652 378102 543373 702409 756204 993061 1086746 1404818 1630119 1986122 2107227 2173492 2809636 2979183 3260238 3972244 4214454 5958366 6520476 8428908 11916732 28798769 57597538 86396307 115195076 172792614 345585228