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673650432 = 2835721317
BaseRepresentation
bin101000001001110…
…001011100000000
31201221120222200000
4220021301130000
52334423303212
6150502400000
722456635300
oct5011613400
91657528600
10673650432
113162925a4
12169730000
13a9744b30
1465679600
153e21a1dc
hex28271700

673650432 has 648 divisors, whose sum is σ = 2671761456. Its totient is φ = 167215104.

The previous prime is 673650431. The next prime is 673650433. The reversal of 673650432 is 234056376.

It is an interprime number because it is at equal distance from previous prime (673650431) and next prime (673650433).

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673650431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39626488 + ... + 39626504.

Almost surely, 2673650432 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 673650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335880728).

673650432 is an abundant number, since it is smaller than the sum of its proper divisors (1998111024).

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

673650432 is a wasteful number, since it uses less digits than its factorization.

673650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 673650432 is about 25954.7766702008. The cubic root of 673650432 is about 876.6203150004.

The spelling of 673650432 in words is "six hundred seventy-three million, six hundred fifty thousand, four hundred thirty-two".