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345088 = 210337
BaseRepresentation
bin1010100010000000000
3122112101001
41110100000
542020323
611221344
72635042
oct1242000
9575331
10345088
112162a7
12147854
13c10c3
148da92
156c3ad
hex54400

345088 has 22 divisors (see below), whose sum is σ = 691886. Its totient is φ = 172032.

The previous prime is 345067. The next prime is 345089. The reversal of 345088 is 880543.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 82944 = 512^2 + 288^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (345089) by changing a digit.

345088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 856 + ... + 1192.

2345088 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 345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345943).

345088 is an abundant number, since it is smaller than the sum of its proper divisors (346798).

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

345088 is an equidigital number, since it uses as much as digits as its factorization.

345088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 345088 is about 587.4419120219. The cubic root of 345088 is about 70.1417535644.

The spelling of 345088 in words is "three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 337 512 674 1024 1348 2696 5392 10784 21568 43136 86272 172544 345088