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631439424 = 263271123619
BaseRepresentation
bin100101101000110…
…000000001000000
31122000011110001100
4211220300001000
52243122030144
6142353534400
721435101160
oct4550600100
91560143040
10631439424
112a4481870
12157574400
13a0a85ac5
145dc0c5a0
153a67d269
hex25a30040

631439424 has 336 divisors, whose sum is σ = 2358420480. Its totient is φ = 156625920.

The previous prime is 631439411. The next prime is 631439429. The reversal of 631439424 is 424934136.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (631439429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019787 + ... + 1020405.

Almost surely, 2631439424 is an apocalyptic number.

631439424 is a gapful number since it is divisible by the number (64) 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 631439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179210240).

631439424 is an abundant number, since it is smaller than the sum of its proper divisors (1726981056).

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

631439424 is a wasteful number, since it uses less digits than its factorization.

631439424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 631439424 is about 25128.4584485400. The cubic root of 631439424 is about 857.9142822741.

The spelling of 631439424 in words is "six hundred thirty-one million, four hundred thirty-nine thousand, four hundred twenty-four".