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944397216 = 25327468451
BaseRepresentation
bin111000010010100…
…101101110100000
32102211001100102200
4320102211232200
53413231202331
6233413413200
732255146440
oct7022455640
92384040380
10944397216
114450a6674
1222433a200
1312086c829
148d5d6120
1557d9b5e6
hex384a5ba0

944397216 has 72 divisors (see below), whose sum is σ = 3069297504. Its totient is φ = 269827200.

The previous prime is 944397197. The next prime is 944397229. The reversal of 944397216 is 612793449.

It is a happy number.

944397216 is a `hidden beast` number, since 9 + 44 + 397 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×9443972162 = 1783772203177101312, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 232210 + ... + 236241.

It is an arithmetic number, because the mean of its divisors is an integer number (42629132).

Almost surely, 2944397216 is an apocalyptic number.

944397216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

944397216 is an abundant number, since it is smaller than the sum of its proper divisors (2124900288).

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

944397216 is a wasteful number, since it uses less digits than its factorization.

944397216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468474 (or 468463 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 944397216 is about 30731.0464514308. The cubic root of 944397216 is about 981.1111982608. Note that the first 4 decimals are identical.

The spelling of 944397216 in words is "nine hundred forty-four million, three hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 468451 936902 1405353 1873804 2810706 3279157 3747608 4216059 5621412 6558314 7495216 8432118 9837471 11242824 13116628 14990432 16864236 19674942 22485648 26233256 29512413 33728472 39349884 44971296 52466512 59024826 67456944 78699768 104933024 118049652 134913888 157399536 236099304 314799072 472198608 944397216