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3094136640 = 263257236673
BaseRepresentation
bin1011100001101100…
…1100011101000000
321222122011102112100
42320123030131000
522314044333030
61231010030400
7136450504350
oct27033143500
97878142470
103094136640
111348617721
12724278400
133a40542aa
14214d0cb60
1513198b360
hexb86cc740

3094136640 has 336 divisors, whose sum is σ = 12693627648. Its totient is φ = 676380672.

The previous prime is 3094136623. The next prime is 3094136641. The reversal of 3094136640 is 466314903.

3094136640 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 1 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 3094136595 and 3094136604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3094136641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460344 + ... + 467016.

Almost surely, 23094136640 is an apocalyptic number.

3094136640 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 3094136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346813824).

3094136640 is an abundant number, since it is smaller than the sum of its proper divisors (9599491008).

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

3094136640 is a wasteful number, since it uses less digits than its factorization.

3094136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3094136640 is about 55624.9641797637. The cubic root of 3094136640 is about 1457.1798692197.

The spelling of 3094136640 in words is "three billion, ninety-four million, one hundred thirty-six thousand, six hundred forty".