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331400349 = 3371753441
BaseRepresentation
bin10011110000001…
…100010010011101
3212002120212211000
4103300030102131
51134314302344
652515020513
711132566530
oct2360142235
9762525730
10331400349
11160080a95
1292b9a739
13538732a7
1432028a17
151e162a69
hex13c0c49d

331400349 has 16 divisors (see below), whose sum is σ = 561101440. Its totient is φ = 189371520.

The previous prime is 331400341. The next prime is 331400351. The reversal of 331400349 is 943004133.

331400349 is a `hidden beast` number, since 3 + 314 + 0 + 0 + 349 = 666.

It is not a de Polignac number, because 331400349 - 23 = 331400341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331400341) 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, 876532 + ... + 876909.

It is an arithmetic number, because the mean of its divisors is an integer number (35068840).

Almost surely, 2331400349 is an apocalyptic number.

It is an amenable number.

331400349 is a deficient number, since it is larger than the sum of its proper divisors (229701091).

331400349 is a wasteful number, since it uses less digits than its factorization.

331400349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753457 (or 1753451 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 331400349 is about 18204.4046593125. The cubic root of 331400349 is about 692.0184187965.

The spelling of 331400349 in words is "three hundred thirty-one million, four hundred thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 189 1753441 5260323 12274087 15780969 36822261 47342907 110466783 331400349