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351407041 = 2331975081
BaseRepresentation
bin10100111100100…
…000101111000001
3220111020022211121
4110330200233001
51204430011131
654511512241
711464624216
oct2474405701
9814208747
10351407041
111703a6347
1299828681
1357a5977b
1434955b0d
1520cb5911
hex14f20bc1

351407041 has 16 divisors (see below), whose sum is σ = 382491648. Its totient is φ = 321868800.

The previous prime is 351407039. The next prime is 351407129. The reversal of 351407041 is 140704153.

It is a cyclic number.

It is not a de Polignac number, because 351407041 - 21 = 351407039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 351406997 and 351407015.

It is not an unprimeable number, because it can be changed into a prime (351407011) 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 15 ways as a sum of consecutive naturals, for example, 66621 + ... + 71701.

It is an arithmetic number, because the mean of its divisors is an integer number (23905728).

Almost surely, 2351407041 is an apocalyptic number.

351407041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

351407041 is a deficient number, since it is larger than the sum of its proper divisors (31084607).

351407041 is a wasteful number, since it uses less digits than its factorization.

351407041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 351407041 is about 18745.8539682779. The cubic root of 351407041 is about 705.6729760867.

The spelling of 351407041 in words is "three hundred fifty-one million, four hundred seven thousand, forty-one".

Divisors: 1 23 31 97 713 2231 3007 5081 69161 116863 157511 492857 3622753 11335711 15278567 351407041