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400016349 = 3244446261
BaseRepresentation
bin10111110101111…
…100001111011101
31000212200221021100
4113311330033131
51304401010344
6103405423313
712625040265
oct2765741735
91025627240
10400016349
11195887227
12b1b6ab39
1364b48b85
143b1aa7a5
15251b8569
hex17d7c3dd

400016349 has 6 divisors (see below), whose sum is σ = 577801406. Its totient is φ = 266677560.

The previous prime is 400016327. The next prime is 400016359. The reversal of 400016349 is 943610004.

It can be written as a sum of positive squares in only one way, i.e., 395731449 + 4284900 = 19893^2 + 2070^2 .

It is not a de Polignac number, because 400016349 - 220 = 398967773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400016359) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22223122 + ... + 22223139.

Almost surely, 2400016349 is an apocalyptic number.

It is an amenable number.

400016349 is a deficient number, since it is larger than the sum of its proper divisors (177785057).

400016349 is a wasteful number, since it uses less digits than its factorization.

400016349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44446267 (or 44446264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 400016349 is about 20000.4087208237. The cubic root of 400016349 is about 736.8163379631.

The spelling of 400016349 in words is "four hundred million, sixteen thousand, three hundred forty-nine".

Divisors: 1 3 9 44446261 133338783 400016349