Search a number
-
+
2930170320 = 24325711173109
BaseRepresentation
bin1010111010100110…
…1101100111010000
321120012122002000200
42232221231213100
522000110422240
61202431415200
7132420015420
oct25651554720
97505562020
102930170320
111274006370
12699384500
133790a53bc
141db22a480
1512239d930
hexaea6d9d0

2930170320 has 480 divisors, whose sum is σ = 12994525440. Its totient is φ = 572866560.

The previous prime is 2930170297. The next prime is 2930170333. The reversal of 2930170320 is 230710392.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 940926 + ... + 944034.

It is an arithmetic number, because the mean of its divisors is an integer number (27071928).

Almost surely, 22930170320 is an apocalyptic number.

2930170320 is a gapful number since it is divisible by the number (20) 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 2930170320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497262720).

2930170320 is an abundant number, since it is smaller than the sum of its proper divisors (10064355120).

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

2930170320 is a wasteful number, since it uses less digits than its factorization.

2930170320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2930170320 is about 54131.0476528951. The cubic root of 2930170320 is about 1430.9714038063.

The spelling of 2930170320 in words is "two billion, nine hundred thirty million, one hundred seventy thousand, three hundred twenty".