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2074324824 = 23321113316797
BaseRepresentation
bin111101110100011…
…1010111101011000
312100120012121201100
41323220322331120
513222011343244
6541455551400
7102255320145
oct17350727530
95316177640
102074324824
119749a1a40
1249a82b560
1327099b550
141596c53cc
15c2194b69
hex7ba3af58

2074324824 has 384 divisors, whose sum is σ = 6986004480. Its totient is φ = 547430400.

The previous prime is 2074324801. The next prime is 2074324831. The reversal of 2074324824 is 4284234702.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21384744 + ... + 21384840.

It is an arithmetic number, because the mean of its divisors is an integer number (18192720).

Almost surely, 22074324824 is an apocalyptic number.

2074324824 is a gapful number since it is divisible by the number (24) 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 2074324824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493002240).

2074324824 is an abundant number, since it is smaller than the sum of its proper divisors (4911679656).

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

2074324824 is a wasteful number, since it uses less digits than its factorization.

2074324824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2074324824 is about 45544.7562733626. The cubic root of 2074324824 is about 1275.3388460413.

The spelling of 2074324824 in words is "two billion, seventy-four million, three hundred twenty-four thousand, eight hundred twenty-four".