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2930312448 = 28327315861
BaseRepresentation
bin1010111010101001…
…0000010100000000
321120012220021222200
42232222100110000
522000124444243
61202434433200
7132421146660
oct25652202400
97505807880
102930312448
1112740a3128
12699432800
13379124cbb
141db2661a0
151223caad3
hexaea90500

2930312448 has 216 divisors, whose sum is σ = 9968964096. Its totient is φ = 810086400.

The previous prime is 2930312383. The next prime is 2930312461. The reversal of 2930312448 is 8442130392.

It is a super-3 number, since 3×29303124483 (a number of 29 digits) contains 333 as substring.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497038 + ... + 502898.

Almost surely, 22930312448 is an apocalyptic number.

2930312448 is a gapful number since it is divisible by the number (28) 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 2930312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984482048).

2930312448 is an abundant number, since it is smaller than the sum of its proper divisors (7038651648).

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

2930312448 is a wasteful number, since it uses less digits than its factorization.

2930312448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2930312448 is about 54132.3604510278. The cubic root of 2930312448 is about 1430.9945398693.

The spelling of 2930312448 in words is "two billion, nine hundred thirty million, three hundred twelve thousand, four hundred forty-eight".