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2324941920 = 25335776883
BaseRepresentation
bin1000101010010011…
…1100110001100000
320000000210021202000
42022210330301200
514230141120140
61022411324000
7111420452220
oct21244746140
96000707660
102324941920
11a93407304
1254a750600
132b0898aa2
14180ac2080
15d919ba30
hex8a93cc60

2324941920 has 192 divisors, whose sum is σ = 9299888640. Its totient is φ = 531408384.

The previous prime is 2324941901. The next prime is 2324941921. The reversal of 2324941920 is 291494232.

2324941920 is a `hidden beast` number, since 232 + 4 + 9 + 419 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324941921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8202 + ... + 68681.

It is an arithmetic number, because the mean of its divisors is an integer number (48436920).

Almost surely, 22324941920 is an apocalyptic number.

2324941920 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 2324941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649944320).

2324941920 is an abundant number, since it is smaller than the sum of its proper divisors (6974946720).

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

2324941920 is a wasteful number, since it uses less digits than its factorization.

2324941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76914 (or 76900 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2324941920 is about 48217.6515396592. The cubic root of 2324941920 is about 1324.7604968792.

The spelling of 2324941920 in words is "two billion, three hundred twenty-four million, nine hundred forty-one thousand, nine hundred twenty".