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3029246640 = 243357228621
BaseRepresentation
bin1011010010001110…
…1010001010110000
321211010001200012000
42310203222022300
522200441343030
61220331134000
7135032112600
oct26443521260
97733050160
103029246640
111314a26922
127065a4300
13393784644
1420a45ac00
1512ae1e860
hexb48ea2b0

3029246640 has 240 divisors, whose sum is σ = 12138017760. Its totient is φ = 692375040.

The previous prime is 3029246621. The next prime is 3029246657. The reversal of 3029246640 is 466429203.

3029246640 is a `hidden beast` number, since 3 + 0 + 2 + 9 + 2 + 4 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3029246595 and 3029246604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91530 + ... + 120150.

It is an arithmetic number, because the mean of its divisors is an integer number (50575074).

Almost surely, 23029246640 is an apocalyptic number.

3029246640 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 3029246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069008880).

3029246640 is an abundant number, since it is smaller than the sum of its proper divisors (9108771120).

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

3029246640 is a wasteful number, since it uses less digits than its factorization.

3029246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28657 (or 28638 counting only the distinct ones).

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

The square root of 3029246640 is about 55038.5922785094. The cubic root of 3029246640 is about 1446.9211946651.

The spelling of 3029246640 in words is "three billion, twenty-nine million, two hundred forty-six thousand, six hundred forty".