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1630438164 = 2232229719717
BaseRepresentation
bin110000100101110…
…1000001100010100
311012121221211200200
41201023220030110
511314343010124
6425441540500
755255332015
oct14113501424
94177854620
101630438164
11767381363
12396044730
131cca32314
1411677900c
1598212bc9
hex612e8314

1630438164 has 36 divisors (see below), whose sum is σ = 4123388724. Its totient is φ = 543215232.

The previous prime is 1630438129. The next prime is 1630438171. The reversal of 1630438164 is 4618340361.

It is a happy number.

1630438164 is a `hidden beast` number, since 1 + 63 + 0 + 438 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 380250000 + 1250188164 = 19500^2 + 35358^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72834 + ... + 92550.

Almost surely, 21630438164 is an apocalyptic number.

It is an amenable number.

1630438164 is an abundant number, since it is smaller than the sum of its proper divisors (2492950560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1630438164 is a wasteful number, since it uses less digits than its factorization.

1630438164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22024 (or 22019 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1630438164 is about 40378.6845253780. The cubic root of 1630438164 is about 1176.9773649896.

The spelling of 1630438164 in words is "one billion, six hundred thirty million, four hundred thirty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2297 4594 6891 9188 13782 19717 20673 27564 39434 41346 59151 78868 82692 118302 177453 236604 354906 709812 45289949 90579898 135869847 181159796 271739694 407609541 543479388 815219082 1630438164