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345205256 = 231122271571
BaseRepresentation
bin10100100100110…
…110101000001000
3220001120020120212
4110210312220020
51201333032011
654130540252
711361124214
oct2444665010
9801506525
10345205256
1116794a900
1297737688
1356697986
1433bbd944
152048d08b
hex14936a08

345205256 has 48 divisors (see below), whose sum is σ = 715039920. Its totient is φ = 156120800.

The previous prime is 345205171. The next prime is 345205277. The reversal of 345205256 is 652502543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218951 + ... + 220521.

It is an arithmetic number, because the mean of its divisors is an integer number (14896665).

Almost surely, 2345205256 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 345205256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357519960).

345205256 is an abundant number, since it is smaller than the sum of its proper divisors (369834664).

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

345205256 is a wasteful number, since it uses less digits than its factorization.

345205256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 345205256 is about 18579.7001052224. The cubic root of 345205256 is about 701.4969705521.

Adding to 345205256 its reverse (652502543), we get a palindrome (997707799).

The spelling of 345205256 in words is "three hundred forty-five million, two hundred five thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 121 227 242 454 484 908 968 1571 1816 2497 3142 4994 6284 9988 12568 17281 19976 27467 34562 54934 69124 109868 138248 190091 219736 356617 380182 713234 760364 1426468 1520728 2852936 3922787 7845574 15691148 31382296 43150657 86301314 172602628 345205256