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900338629 is a prime number
BaseRepresentation
bin110101101010100…
…001001111000101
32022202010221102011
4311222201033011
53320441314004
6225201214221
731211515651
oct6552411705
92282127364
10900338629
11422243813
12211631371
131146b4868
1487807a61
1554097004
hex35aa13c5

900338629 has 2 divisors, whose sum is σ = 900338630. Its totient is φ = 900338628.

The previous prime is 900338623. The next prime is 900338633. The reversal of 900338629 is 926833009.

900338629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 875568100 + 24770529 = 29590^2 + 4977^2 .

It is a cyclic number.

It is not a de Polignac number, because 900338629 - 219 = 899814341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 900338591 and 900338600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900338623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450169314 + 450169315.

It is an arithmetic number, because the mean of its divisors is an integer number (450169315).

Almost surely, 2900338629 is an apocalyptic number.

It is an amenable number.

900338629 is a deficient number, since it is larger than the sum of its proper divisors (1).

900338629 is an equidigital number, since it uses as much as digits as its factorization.

900338629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 900338629 is about 30005.6432858887. The cubic root of 900338629 is about 965.6104593126.

The spelling of 900338629 in words is "nine hundred million, three hundred thirty-eight thousand, six hundred twenty-nine".