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2378926368 = 253371379383
BaseRepresentation
bin1000110111001011…
…1000100100100000
320010210100222111000
42031302320210200
514333001120433
61032020352000
7112644353250
oct21562704440
96123328430
102378926368
111010929655
12564845600
132bbb1a950
14187d35960
15ddcb2113
hex8dcb8920

2378926368 has 384 divisors, whose sum is σ = 8670412800. Its totient is φ = 617849856.

The previous prime is 2378926349. The next prime is 2378926387. The reversal of 2378926368 is 8636298732.

It is a happy number.

2378926368 is a `hidden beast` number, since 2 + 378 + 9 + 263 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2378926349) and next prime (2378926387).

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

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 6211105 + ... + 6211487.

It is an arithmetic number, because the mean of its divisors is an integer number (22579200).

Almost surely, 22378926368 is an apocalyptic number.

2378926368 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 2378926368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335206400).

2378926368 is an abundant number, since it is smaller than the sum of its proper divisors (6291486432).

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

2378926368 is a wasteful number, since it uses less digits than its factorization.

2378926368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2378926368 is about 48774.2387741726. The cubic root of 2378926368 is about 1334.9356565378.

The spelling of 2378926368 in words is "two billion, three hundred seventy-eight million, nine hundred twenty-six thousand, three hundred sixty-eight".