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4442034312 = 2332176595507
BaseRepresentation
bin1000010001100010…
…00001000010001000
3102110120110201112100
410020301001002020
533044130044222
62012440113400
7215035445232
oct41061010210
912416421470
104442034312
11197a45a141
12a3b765860
1355a38c791
14301d3b252
151aee8d4ac
hex108c41088

4442034312 has 96 divisors (see below), whose sum is σ = 12759832800. Its totient is φ = 1391212032.

The previous prime is 4442034281. The next prime is 4442034323. The reversal of 4442034312 is 2134302444.

It is a happy number.

4442034312 is a `hidden beast` number, since 444 + 203 + 4 + 3 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803863 + ... + 809369.

It is an arithmetic number, because the mean of its divisors is an integer number (132914925).

Almost surely, 24442034312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379916400).

4442034312 is an abundant number, since it is smaller than the sum of its proper divisors (8317798488).

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

4442034312 is a wasteful number, since it uses less digits than its factorization.

4442034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4442034312 is about 66648.5882221072. The cubic root of 4442034312 is about 1643.8441342631.

Adding to 4442034312 its reverse (2134302444), we get a palindrome (6576336756).

The spelling of 4442034312 in words is "four billion, four hundred forty-two million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 659 1224 1318 1977 2636 3954 5272 5507 5931 7908 11014 11203 11862 15816 16521 22028 22406 23724 33042 33609 44056 44812 47448 49563 66084 67218 89624 93619 99126 100827 132168 134436 187238 198252 201654 268872 280857 374476 396504 403308 561714 748952 806616 842571 1123428 1685142 2246856 3370284 3629113 6740568 7258226 10887339 14516452 21774678 29032904 32662017 43549356 61694921 65324034 87098712 123389842 130648068 185084763 246779684 261296136 370169526 493559368 555254289 740339052 1110508578 1480678104 2221017156 4442034312