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351305427 = 311232272039
BaseRepresentation
bin10100111100000…
…111111011010011
3220111001011110010
4110330013323103
51204413233202
654505410003
711464022034
oct2474077323
9814034403
10351305427
11170336a70
1299799903
1357a22445
143492aa8b
1520c9576c
hex14f07ed3

351305427 has 32 divisors (see below), whose sum is σ = 535818240. Its totient is φ = 202658720.

The previous prime is 351305407. The next prime is 351305429. The reversal of 351305427 is 724503153.

It is a de Polignac number, because none of the positive numbers 2k-351305427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 351305394 and 351305403.

It is not an unprimeable number, because it can be changed into a prime (351305429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171274 + ... + 173312.

It is an arithmetic number, because the mean of its divisors is an integer number (16744320).

Almost surely, 2351305427 is an apocalyptic number.

351305427 is a deficient number, since it is larger than the sum of its proper divisors (184512813).

351305427 is a wasteful number, since it uses less digits than its factorization.

351305427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 351305427 is about 18743.1434663452. The cubic root of 351305427 is about 705.6049513005.

The spelling of 351305427 in words is "three hundred fifty-one million, three hundred five thousand, four hundred twenty-seven".

Divisors: 1 3 11 23 33 69 227 253 681 759 2039 2497 5221 6117 7491 15663 22429 46897 57431 67287 140691 172293 462853 515867 1388559 1547601 5091383 10645619 15274149 31936857 117101809 351305427