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442727334 = 232773127379
BaseRepresentation
bin11010011000110…
…111101110100110
31010212001212201200
4122120313232212
51401314233314
6111533103330
713654056150
oct3230675646
91125055650
10442727334
112079a9665
12104327b46
137095164a
1442b27ad0
1528d03709
hex1a637ba6

442727334 has 96 divisors (see below), whose sum is σ = 1123000320. Its totient is φ = 123451776.

The previous prime is 442727321. The next prime is 442727381. The reversal of 442727334 is 433727244.

It is a super-3 number, since 3×4427273343 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167957 + ... + 1168335.

It is an arithmetic number, because the mean of its divisors is an integer number (11697920).

Almost surely, 2442727334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442727334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561500160).

442727334 is an abundant number, since it is smaller than the sum of its proper divisors (680272986).

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

442727334 is a wasteful number, since it uses less digits than its factorization.

442727334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 591 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 442727334 is about 21041.0868065316. The cubic root of 442727334 is about 762.1587595717.

The spelling of 442727334 in words is "four hundred forty-two million, seven hundred twenty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 127 146 219 254 379 381 438 511 657 758 762 889 1022 1137 1143 1314 1533 1778 2274 2286 2653 2667 3066 3411 4599 5306 5334 6822 7959 8001 9198 9271 15918 16002 18542 23877 27667 27813 47754 48133 55334 55626 64897 83001 83439 96266 129794 144399 166002 166878 193669 194691 249003 288798 336931 387338 389382 433197 498006 581007 584073 673862 866394 1010793 1162014 1168146 1743021 2021586 3032379 3486042 3513709 6064758 7027418 10541127 21082254 24595963 31623381 49191926 63246762 73787889 147575778 221363667 442727334