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671634432 = 21032729359
BaseRepresentation
bin101000000010000…
…101010000000000
31201210210120020100
4220002011100000
52333414300212
6150351242400
722433540610
oct5002052000
91653716210
10671634432
11315135987
12168b19400
13a91ba331
14652b2a40
153de6cbdc
hex28085400

671634432 has 264 divisors, whose sum is σ = 2299190400. Its totient is φ = 184762368.

The previous prime is 671634427. The next prime is 671634433. The reversal of 671634432 is 234436176.

It is a happy number.

671634432 is a `hidden beast` number, since 67 + 163 + 4 + 432 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671634433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870669 + ... + 1871027.

Almost surely, 2671634432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149595200).

671634432 is an abundant number, since it is smaller than the sum of its proper divisors (1627555968).

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

671634432 is a wasteful number, since it uses less digits than its factorization.

671634432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 671634432 is about 25915.9107885484. The cubic root of 671634432 is about 875.7449686068.

The spelling of 671634432 in words is "six hundred seventy-one million, six hundred thirty-four thousand, four hundred thirty-two".