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3060134640 = 243451727779
BaseRepresentation
bin1011011001100101…
…1111001011110000
321220021011221120000
42312121133023300
522231343302030
61223353150000
7135555500223
oct26631371360
97807157500
103060134640
1113304034a2
127149bb300
13399caa874
142105bb5ba
1512d9c1860
hexb665f2f0

3060134640 has 200 divisors, whose sum is σ = 11253900240. Its totient is φ = 768006144.

The previous prime is 3060134629. The next prime is 3060134647. The reversal of 3060134640 is 464310603.

3060134640 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 13 + 4 + 640 = 666.

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 (3060134647) 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, 96271 + ... + 124049.

Almost surely, 23060134640 is an apocalyptic number.

3060134640 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 3060134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626950120).

3060134640 is an abundant number, since it is smaller than the sum of its proper divisors (8193765600).

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

3060134640 is a wasteful number, since it uses less digits than its factorization.

3060134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27821 (or 27806 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3060134640 is about 55318.4837102392. The cubic root of 3060134640 is about 1451.8224630963.

The spelling of 3060134640 in words is "three billion, sixty million, one hundred thirty-four thousand, six hundred forty".