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444672378 = 232132118701
BaseRepresentation
bin11010100000010…
…010100101111010
31010222201200211100
4122200102211322
51402314004003
6112042512230
714006436633
oct3240224572
91128650740
10444672378
11209007a37
12104b05676
1371182a67
14430b288a
1529089ba3
hex1a81297a

444672378 has 24 divisors (see below), whose sum is σ = 964237716. Its totient is φ = 148104000.

The previous prime is 444672377. The next prime is 444672413. The reversal of 444672378 is 873276444.

It can be written as a sum of positive squares in 2 ways, for example, as 442134729 + 2537649 = 21027^2 + 1593^2 .

It is a super-3 number, since 3×4446723783 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (444672377) 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 11 ways as a sum of consecutive naturals, for example, 14428 + ... + 33128.

Almost surely, 2444672378 is an apocalyptic number.

444672378 is an abundant number, since it is smaller than the sum of its proper divisors (519565338).

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

444672378 is a wasteful number, since it uses less digits than its factorization.

444672378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20030 (or 20027 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 444672378 is about 21087.2562937903. The cubic root of 444672378 is about 763.2732654669.

The spelling of 444672378 in words is "four hundred forty-four million, six hundred seventy-two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 1321 2642 3963 7926 11889 18701 23778 37402 56103 112206 168309 336618 24704021 49408042 74112063 148224126 222336189 444672378