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638342640 = 2433513127179
BaseRepresentation
bin100110000011000…
…101010111110000
31122111011011111000
4212003011113300
52301403431030
6143201522000
721550552155
oct4603052760
91574134430
10638342640
112a8367301
12159943300
13a2331c50
1460ac822c
153b093860
hex260c55f0

638342640 has 320 divisors, whose sum is σ = 2399846400. Its totient is φ = 155022336.

The previous prime is 638342599. The next prime is 638342641. The reversal of 638342640 is 46243836.

It is a happy number.

638342640 is a `hidden beast` number, since 6 + 3 + 8 + 3 + 4 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 638342595 and 638342604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638342641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3566071 + ... + 3566249.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2638342640 is an apocalyptic number.

638342640 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 638342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199923200).

638342640 is an abundant number, since it is smaller than the sum of its proper divisors (1761503760).

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

638342640 is a wasteful number, since it uses less digits than its factorization.

638342640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 638342640 is about 25265.4435939684. The cubic root of 638342640 is about 861.0293425637.

The spelling of 638342640 in words is "six hundred thirty-eight million, three hundred forty-two thousand, six hundred forty".