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3000820401 = 32333424489
BaseRepresentation
bin1011001011011100…
…1110001010110001
321202010120110201100
42302313032022301
522121202223101
61213433555013
7134235360345
oct26267161261
97663513640
103000820401
1112aa980867
126b8b75a69
1338a910a97
1420677b625
151286a6e86
hexb2dce2b1

3000820401 has 6 divisors (see below), whose sum is σ = 4334518370. Its totient is φ = 2000546928.

The previous prime is 3000820363. The next prime is 3000820411. The reversal of 3000820401 is 1040280003.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1838351376 + 1162469025 = 42876^2 + 34095^2 .

It is not a de Polignac number, because 3000820401 - 213 = 3000812209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3000820411) 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 5 ways as a sum of consecutive naturals, for example, 166712236 + ... + 166712253.

Almost surely, 23000820401 is an apocalyptic number.

It is an amenable number.

3000820401 is a deficient number, since it is larger than the sum of its proper divisors (1333697969).

3000820401 is a wasteful number, since it uses less digits than its factorization.

3000820401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333424495 (or 333424492 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3000820401 is about 54779.7444408059. The cubic root of 3000820401 is about 1442.3810275461.

The spelling of 3000820401 in words is "three billion, eight hundred twenty thousand, four hundred one".

Divisors: 1 3 9 333424489 1000273467 3000820401