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441214032 = 243721491259
BaseRepresentation
bin11010010011000…
…110010001010000
31010202012222212110
4122103012101100
51400422322112
6111440425320
713635154200
oct3223062120
91122188773
10441214032
112070656a6
12103918240
13705418bc
1442852400
1528b0513c
hex1a4c6450

441214032 has 120 divisors (see below), whose sum is σ = 1335852000. Its totient is φ = 125115648.

The previous prime is 441214027. The next prime is 441214043. The reversal of 441214032 is 230412144.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 349819 + ... + 351077.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2441214032 is an apocalyptic number.

441214032 is a gapful number since it is divisible by the number (42) 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 441214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667926000).

441214032 is an abundant number, since it is smaller than the sum of its proper divisors (894637968).

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

441214032 is a wasteful number, since it uses less digits than its factorization.

441214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 441214032 is about 21005.0953818353. The cubic root of 441214032 is about 761.2893809724.

Adding to 441214032 its reverse (230412144), we get a palindrome (671626176).

The spelling of 441214032 in words is "four hundred forty-one million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 149 168 196 294 298 336 392 447 588 596 784 894 1043 1176 1192 1259 1788 2086 2352 2384 2518 3129 3576 3777 4172 5036 6258 7152 7301 7554 8344 8813 10072 12516 14602 15108 16688 17626 20144 21903 25032 26439 29204 30216 35252 43806 50064 52878 58408 60432 61691 70504 87612 105756 116816 123382 141008 175224 185073 187591 211512 246764 350448 370146 375182 423024 493528 562773 740292 750364 987056 1125546 1313137 1480584 1500728 2251092 2626274 2961168 3001456 3939411 4502184 5252548 7878822 9004368 9191959 10505096 15757644 18383918 21010192 27575877 31515288 36767836 55151754 63030576 73535672 110303508 147071344 220607016 441214032