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671869440 = 29325112241
BaseRepresentation
bin101000000010111…
…110101000000000
31201211020111121100
4220002332220000
52333444310230
6150400254400
722435540014
oct5002765000
91654214540
10671869440
11315286500
12169011400
13a92702a8
1465334544
153deb7660
hex280bea00

671869440 has 360 divisors, whose sum is σ = 2568249684. Its totient is φ = 162201600.

The previous prime is 671869423. The next prime is 671869463. The reversal of 671869440 is 44968176.

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 2509056 = 25872^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2787720 + ... + 2787960.

Almost surely, 2671869440 is an apocalyptic number.

671869440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284124842).

671869440 is an abundant number, since it is smaller than the sum of its proper divisors (1896380244).

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

671869440 is a wasteful number, since it uses less digits than its factorization.

671869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 671869440 is about 25920.4444406341. Note that the first 5 decimals coincide. The cubic root of 671869440 is about 875.8470991033.

The spelling of 671869440 in words is "six hundred seventy-one million, eight hundred sixty-nine thousand, four hundred forty".