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2934791808 = 273132411103
BaseRepresentation
bin1010111011101101…
…0101111010000000
321120112022212111220
42232323111322000
522002301314213
61203114435040
7132504214224
oct25673257200
97515285456
102934791808
111276682583
1269aa32a80
1337a032b00
141dbab0784
151229b2e23
hexaeed5e80

2934791808 has 192 divisors, whose sum is σ = 8655050880. Its totient is φ = 880189440.

The previous prime is 2934791807. The next prime is 2934791837. The reversal of 2934791808 is 8081974392.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×29347918082 = 17226005912607817728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2934791803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2660185 + ... + 2661287.

It is an arithmetic number, because the mean of its divisors is an integer number (45078390).

Almost surely, 22934791808 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 2934791808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327525440).

2934791808 is an abundant number, since it is smaller than the sum of its proper divisors (5720259072).

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

2934791808 is a wasteful number, since it uses less digits than its factorization.

2934791808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 2934791808 is about 54173.7187942641. The cubic root of 2934791808 is about 1431.7233218049.

The spelling of 2934791808 in words is "two billion, nine hundred thirty-four million, seven hundred ninety-one thousand, eight hundred eight".