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346550368 = 2541264139
BaseRepresentation
bin10100101001111…
…111000001100000
3220011002120201211
4110221333001200
51202204102433
654215435504
711405425633
oct2451770140
9804076654
10346550368
1116868946a
1298085b94
1356a48cb8
143404dc1a
15206568cd
hex14a7f060

346550368 has 24 divisors (see below), whose sum is σ = 698914440. Its totient is φ = 169048320.

The previous prime is 346550363. The next prime is 346550417. The reversal of 346550368 is 863055643.

346550368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 346550368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346550363) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 130758 + ... + 133381.

It is an arithmetic number, because the mean of its divisors is an integer number (29121435).

Almost surely, 2346550368 is an apocalyptic number.

It is an amenable number.

346550368 is an abundant number, since it is smaller than the sum of its proper divisors (352364072).

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

346550368 is a wasteful number, since it uses less digits than its factorization.

346550368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264190 (or 264182 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 346550368 is about 18615.8633428590. The cubic root of 346550368 is about 702.4069306761.

The spelling of 346550368 in words is "three hundred forty-six million, five hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 264139 528278 1056556 2113112 4226224 8452448 10829699 21659398 43318796 86637592 173275184 346550368