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442346060 = 22513672379
BaseRepresentation
bin11010010111011…
…010101001001100
31010211100111201102
4122113122221030
51401220033220
6111521002232
713650610442
oct3227325114
91124314642
10442346060
11207769162
12104183378
1370849c40
1442a68b92
1528c7a775
hex1a5daa4c

442346060 has 72 divisors (see below), whose sum is σ = 1018216080. Its totient is φ = 160465536.

The previous prime is 442346059. The next prime is 442346111. The reversal of 442346060 is 60643244.

It is a happy number.

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, 1166951 + ... + 1167329.

It is an arithmetic number, because the mean of its divisors is an integer number (14141890).

Almost surely, 2442346060 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 442346060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509108040).

442346060 is an abundant number, since it is smaller than the sum of its proper divisors (575870020).

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

442346060 is a wasteful number, since it uses less digits than its factorization.

442346060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 442346060 is about 21032.0246291221. The cubic root of 442346060 is about 761.9399079558.

The spelling of 442346060 in words is "four hundred forty-two million, three hundred forty-six thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 379 670 758 871 1340 1516 1742 1895 3484 3790 4355 4489 4927 7580 8710 8978 9854 17420 17956 19708 22445 24635 25393 44890 49270 50786 58357 89780 98540 101572 116714 126965 233428 253930 291785 330109 507860 583570 660218 1167140 1320436 1650545 1701331 3301090 3402662 6602180 6805324 8506655 17013310 22117303 34026620 44234606 88469212 110586515 221173030 442346060