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442012308 = 2231741431229
BaseRepresentation
bin11010010110001…
…001001010010100
31010210201112220020
4122112021022110
51401123343213
6111505505140
713645020423
oct3226111224
91123645806
10442012308
11207560431
121040421b0
137076105a
14429bd2ba
1528c11923
hex1a589294

442012308 has 96 divisors (see below), whose sum is σ = 1145612160. Its totient is φ = 132034560.

The previous prime is 442012303. The next prime is 442012327. The reversal of 442012308 is 803210244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442012301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359038 + ... + 360266.

It is an arithmetic number, because the mean of its divisors is an integer number (11933460).

Almost surely, 2442012308 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 442012308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572806080).

442012308 is an abundant number, since it is smaller than the sum of its proper divisors (703599852).

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

442012308 is a wasteful number, since it uses less digits than its factorization.

442012308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 442012308 is about 21024.0887555204. The cubic root of 442012308 is about 761.7482307642.

The spelling of 442012308 in words is "four hundred forty-two million, twelve thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 17 34 41 43 51 68 82 86 102 123 129 164 172 204 246 258 492 516 697 731 1229 1394 1462 1763 2091 2193 2458 2788 2924 3526 3687 4182 4386 4916 5289 7052 7374 8364 8772 10578 14748 20893 21156 29971 41786 50389 52847 59942 62679 83572 89913 100778 105694 119884 125358 151167 158541 179826 201556 211388 250716 302334 317082 359652 604668 634164 856613 898399 1713226 1796798 2166727 2569839 2695197 3426452 3593596 4333454 5139678 5390394 6500181 8666908 10279356 10780788 13000362 26000724 36834359 73668718 110503077 147337436 221006154 442012308