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640346112 = 2113272709
BaseRepresentation
bin100110001010101…
…110100000000000
31122121220221201200
4212022232200000
52302412033422
6143312501200
721603565200
oct4612564000
91577827650
10640346112
112a950556a
1215a54a800
13a2883b33
146108a400
153b33c2ac
hex262ae800

640346112 has 216 divisors, whose sum is σ = 2154420450. Its totient is φ = 182697984.

The previous prime is 640346107. The next prime is 640346117. The reversal of 640346112 is 211643046.

640346112 is a `hidden beast` number, since 6 + 40 + 3 + 4 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (640346107) and next prime (640346117).

It can be written as a sum of positive squares in only one way, i.e., 618218496 + 22127616 = 24864^2 + 4704^2 .

It is not an unprimeable number, because it can be changed into a prime (640346117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902814 + ... + 903522.

Almost surely, 2640346112 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 640346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077210225).

640346112 is an abundant number, since it is smaller than the sum of its proper divisors (1514074338).

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

640346112 is a wasteful number, since it uses less digits than its factorization.

640346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 640346112 is about 25305.0609957771. The cubic root of 640346112 is about 861.9291971209.

Adding to 640346112 its reverse (211643046), we get a palindrome (851989158).

The spelling of 640346112 in words is "six hundred forty million, three hundred forty-six thousand, one hundred twelve".