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2378229984 = 253413163433
BaseRepresentation
bin1000110111000000…
…1110100011100000
320010202001121020000
42031300032203200
514332311324414
61031553420000
7112635423054
oct21560164340
96122047200
102378229984
1110104a3429
1256456a600
132bb9359a0
14187bd3c64
15ddbc5b09
hex8dc0e8e0

2378229984 has 240 divisors, whose sum is σ = 7596045072. Its totient is φ = 725594112.

The previous prime is 2378229949. The next prime is 2378230003. The reversal of 2378229984 is 4899228732.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2378229984.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 5492232 + ... + 5492664.

Almost surely, 22378229984 is an apocalyptic number.

2378229984 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 2378229984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798022536).

2378229984 is an abundant number, since it is smaller than the sum of its proper divisors (5217815088).

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

2378229984 is a wasteful number, since it uses less digits than its factorization.

2378229984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 614 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2378229984 is about 48767.0994011331. The cubic root of 2378229984 is about 1334.8053850885.

The spelling of 2378229984 in words is "two billion, three hundred seventy-eight million, two hundred twenty-nine thousand, nine hundred eighty-four".