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2378707984 = 248921372
BaseRepresentation
bin1000110111001000…
…0011010000010000
320010202221212220201
42031302003100100
514332422123414
61032011544544
7112642453462
oct21562032020
96122855821
102378707984
11101079a574
1256475b154
132bba72423
14187cba132
15ddc6c574
hex8dc83410

2378707984 has 45 divisors (see below), whose sum is σ = 4695383287. Its totient is φ = 1167406592.

The previous prime is 2378707979. The next prime is 2378707987. The reversal of 2378707984 is 4897078732.

The square root of 2378707984 is 48772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 138768400 + 2239939584 = 11780^2 + 47328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2378707987) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 17362764 + ... + 17362900.

Almost surely, 22378707984 is an apocalyptic number.

2378707984 is the 48772-nd square number.

It is an amenable number.

2378707984 is a deficient number, since it is larger than the sum of its proper divisors (2316675303).

2378707984 is an frugal number, since it uses more digits than its factorization.

2378707984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The cubic root of 2378707984 is about 1334.8948065261.

The spelling of 2378707984 in words is "two billion, three hundred seventy-eight million, seven hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 89 137 178 274 356 548 712 1096 1424 2192 7921 12193 15842 18769 24386 31684 37538 48772 63368 75076 97544 126736 150152 195088 300304 1085177 1670441 2170354 3340882 4340708 6681764 8681416 13363528 17362832 26727056 148669249 297338498 594676996 1189353992 2378707984