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3250160640 = 21034517461
BaseRepresentation
bin1100000110111001…
…1000010000000000
322101111202021020000
43001232120100000
523124020120030
61254302120000
7143353623666
oct30156302000
98344667200
103250160640
1114186a3881
12768580000
133ca48209c
1422b924c36
1514050a860
hexc1b98400

3250160640 has 440 divisors, whose sum is σ = 12358590552. Its totient is φ = 813957120.

The previous prime is 3250160629. The next prime is 3250160647. The reversal of 3250160640 is 460610523.

3250160640 is a `hidden beast` number, since 3 + 2 + 5 + 0 + 16 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 442008576 + 2808152064 = 21024^2 + 52992^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3250160647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7050010 + ... + 7050470.

Almost surely, 23250160640 is an apocalyptic number.

3250160640 is a gapful number since it is divisible by the number (30) 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 3250160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179295276).

3250160640 is an abundant number, since it is smaller than the sum of its proper divisors (9108429912).

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

3250160640 is a wasteful number, since it uses less digits than its factorization.

3250160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3250160640 is about 57010.1801435498. The cubic root of 3250160640 is about 1481.2724386923.

The spelling of 3250160640 in words is "three billion, two hundred fifty million, one hundred sixty thousand, six hundred forty".