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580383342 = 2327211163367
BaseRepresentation
bin100010100101111…
…111001001101110
31111110002112021100
4202211333021232
52142034231332
6133331343530
720245114500
oct4245771156
91443075240
10580383342
1127867a660
12142451ba6
139331aac6
145711bd70
1535e4567c
hex2297f26e

580383342 has 144 divisors (see below), whose sum is σ = 1609949952. Its totient is φ = 149415840.

The previous prime is 580383319. The next prime is 580383347. The reversal of 580383342 is 243383085.

580383342 is a `hidden beast` number, since 580 + 3 + 8 + 33 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 580383297 and 580383306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580383347) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1581243 + ... + 1581609.

It is an arithmetic number, because the mean of its divisors is an integer number (11180208).

Almost surely, 2580383342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580383342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804974976).

580383342 is an abundant number, since it is smaller than the sum of its proper divisors (1029566610).

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

580383342 is a wasteful number, since it uses less digits than its factorization.

580383342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 580383342 is about 24091.1465480579. The cubic root of 580383342 is about 834.1387809697.

The spelling of 580383342 in words is "five hundred eighty million, three hundred eighty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 163 198 231 294 326 367 441 462 489 539 693 734 882 978 1078 1101 1141 1386 1467 1617 1793 2202 2282 2569 2934 3234 3303 3423 3586 4037 4851 5138 5379 6606 6846 7707 7987 8074 9702 10269 10758 12111 12551 15414 15974 16137 17983 20538 23121 23961 24222 25102 28259 32274 35966 36333 37653 46242 47922 53949 56518 59821 71883 72666 75306 84777 87857 107898 112959 119642 143766 161847 169554 175714 179463 197813 225918 254331 263571 323694 358926 395626 418747 508662 527142 538389 593439 658031 790713 837494 1076778 1186878 1256241 1316062 1581426 1780317 1974093 2512482 2931229 3560634 3768723 3948186 4606217 5862458 5922279 7537446 8793687 9212434 11844558 13818651 17587374 26381061 27637302 32243519 41455953 52762122 64487038 82911906 96730557 193461114 290191671 580383342