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353064 = 23347313
BaseRepresentation
bin1010110001100101000
3122221022110
41112030220
542244224
611322320
73000225
oct1261450
9587273
10353064
11221298
121503a0
13c491a
149294c
156e929
hex56328

353064 has 32 divisors (see below), whose sum is σ = 904320. Its totient is φ = 114816.

The previous prime is 353057. The next prime is 353069. The reversal of 353064 is 460353.

353064 is nontrivially palindromic in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 353064.

It is not an unprimeable number, because it can be changed into a prime (353069) by changing a digit.

353064 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 in 7 ways as a sum of consecutive naturals, for example, 972 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (28260).

2353064 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 353064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452160).

353064 is an abundant number, since it is smaller than the sum of its proper divisors (551256).

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

353064 is a wasteful number, since it uses less digits than its factorization.

353064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 353064 is about 594.1918881977. The cubic root of 353064 is about 70.6780370138.

The spelling of 353064 in words is "three hundred fifty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 313 376 564 626 939 1128 1252 1878 2504 3756 7512 14711 29422 44133 58844 88266 117688 176532 353064