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442305024 = 2937311327
BaseRepresentation
bin11010010111010…
…000101000000000
31010211021102102120
4122113100220000
51401212230044
6111520044240
713650350010
oct3227205000
91124242376
10442305024
11207740347
12104163680
1370834365
1442a57c40
1528c6d519
hex1a5d0a00

442305024 has 160 divisors (see below), whose sum is σ = 1391149056. Its totient is φ = 122204160.

The previous prime is 442305023. The next prime is 442305037. The reversal of 442305024 is 420503244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 442304985 and 442305003.

It is not an unprimeable number, because it can be changed into a prime (442305023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332649 + ... + 333975.

Almost surely, 2442305024 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 442305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695574528).

442305024 is an abundant number, since it is smaller than the sum of its proper divisors (948844032).

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

442305024 is a wasteful number, since it uses less digits than its factorization.

442305024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 442305024 is about 21031.0490465882. The cubic root of 442305024 is about 761.9163457604.

Adding to 442305024 its reverse (420503244), we get a palindrome (862808268).

The spelling of 442305024 in words is "four hundred forty-two million, three hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1327 1344 1488 1536 1736 1792 1984 2604 2654 2688 2976 3472 3584 3968 3981 5208 5308 5376 5952 6944 7936 7962 9289 10416 10616 10752 11904 13888 15872 15924 18578 20832 21232 23808 27776 27867 31848 37156 41137 41664 42464 47616 55552 55734 63696 74312 82274 83328 84928 111104 111468 123411 127392 148624 164548 166656 169856 222936 246822 254784 287959 297248 329096 333312 339712 445872 493644 509568 575918 594496 658192 679424 863877 891744 987288 1019136 1151836 1188992 1316384 1727754 1783488 1974576 2038272 2303672 2377984 2632768 3455508 3566976 3949152 4607344 4755968 5265536 6911016 7133952 7898304 9214688 10531072 13822032 14267904 15796608 18429376 21062144 27644064 31593216 36858752 55288128 63186432 73717504 110576256 147435008 221152512 442305024