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444334280 = 23513899601
BaseRepresentation
bin11010011111000…
…000000011001000
31010222002112001012
4122133000003020
51402222144110
6112031343052
714003531135
oct3237000310
91128075035
10444334280
112088a6a15
12104981a88
1371094bc0
144302558c
152901e905
hex1a7c00c8

444334280 has 64 divisors (see below), whose sum is σ = 1088866800. Its totient is φ = 162201600.

The previous prime is 444334279. The next prime is 444334327. The reversal of 444334280 is 82433444.

It can be written as a sum of positive squares in 8 ways, for example, as 101566084 + 342768196 = 10078^2 + 18514^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41480 + ... + 51080.

Almost surely, 2444334280 is an apocalyptic number.

444334280 is a gapful number since it is divisible by the number (40) 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 444334280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544433400).

444334280 is an abundant number, since it is smaller than the sum of its proper divisors (644532520).

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

444334280 is a wasteful number, since it uses less digits than its factorization.

444334280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9714 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 444334280 is about 21079.2381266496. The cubic root of 444334280 is about 763.0797697542.

The spelling of 444334280 in words is "four hundred forty-four million, three hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1157 1780 2314 3560 4628 5785 9256 9601 11570 19202 23140 38404 46280 48005 76808 96010 124813 192020 249626 384040 499252 624065 854489 998504 1248130 1708978 2496260 3417956 4272445 4992520 6835912 8544890 11108357 17089780 22216714 34179560 44433428 55541785 88866856 111083570 222167140 444334280