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346555313 = 13121321977
BaseRepresentation
bin10100101010000…
…000001110110001
3220011002211111222
4110222000032301
51202204232223
654215514425
711405446226
oct2452001661
9804084458
10346555313
11168692155
1298088a15
1356a4b320
143405194d
15206580c8
hex14a803b1

346555313 has 8 divisors (see below), whose sum is σ = 373538088. Its totient is φ = 319618944.

The previous prime is 346555303. The next prime is 346555343. The reversal of 346555313 is 313555643.

It can be written as a sum of positive squares in 4 ways, for example, as 4194304 + 342361009 = 2048^2 + 18503^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 346555313 - 28 = 346555057 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (346555303) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4781 + ... + 26757.

It is an arithmetic number, because the mean of its divisors is an integer number (46692261).

Almost surely, 2346555313 is an apocalyptic number.

It is an amenable number.

346555313 is a deficient number, since it is larger than the sum of its proper divisors (26982775).

346555313 is a wasteful number, since it uses less digits than its factorization.

346555313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23203.

The product of its digits is 81000, while the sum is 35.

The square root of 346555313 is about 18615.9961592175. The cubic root of 346555313 is about 702.4102715908.

The spelling of 346555313 in words is "three hundred forty-six million, five hundred fifty-five thousand, three hundred thirteen".

Divisors: 1 13 1213 15769 21977 285701 26658101 346555313