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442140270 = 2351113234481
BaseRepresentation
bin11010010110101…
…000011001101110
31010210222001102120
4122112220121232
51401141442040
6111512333410
713646062455
oct3226503156
91123861376
10442140270
11207638590
121040a4266
13707a7380
1442a13b9c
1528c397d0
hex1a5a866e

442140270 has 128 divisors (see below), whose sum is σ = 1301142528. Its totient is φ = 94617600.

The previous prime is 442140173. The next prime is 442140311. The reversal of 442140270 is 72041244.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 442140270.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96430 + ... + 100910.

It is an arithmetic number, because the mean of its divisors is an integer number (10165176).

Almost surely, 2442140270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442140270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650571264).

442140270 is an abundant number, since it is smaller than the sum of its proper divisors (859002258).

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

442140270 is a wasteful number, since it uses less digits than its factorization.

442140270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538.

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 442140270 is about 21027.1317587540. The cubic root of 442140270 is about 761.8217320526.

The spelling of 442140270 in words is "four hundred forty-two million, one hundred forty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 22 23 26 30 33 39 46 55 65 66 69 78 110 115 130 138 143 165 195 230 253 286 299 330 345 390 429 506 598 690 715 759 858 897 1265 1430 1495 1518 1794 2145 2530 2990 3289 3795 4290 4481 4485 6578 7590 8962 8970 9867 13443 16445 19734 22405 26886 32890 44810 49291 49335 58253 67215 98582 98670 103063 116506 134430 147873 174759 206126 246455 291265 295746 309189 349518 492910 515315 582530 618378 640783 739365 873795 1030630 1133693 1281566 1339819 1478730 1545945 1747590 1922349 2267386 2679638 3091890 3203915 3401079 3844698 4019457 5668465 6407830 6699095 6802158 8038914 9611745 11336930 13398190 14738009 17005395 19223490 20097285 29476018 34010790 40194570 44214027 73690045 88428054 147380090 221070135 442140270