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340022442032 = 247133110174587
BaseRepresentation
bin1001111001010101110…
…10101011100000110000
31012111122202012201220222
410330222322223200300
521032331221121112
6420112032552212
733365034032660
oct4745272534060
91174582181828
10340022442032
11121225893379
1255a949b2668
13260aa73ac80
14126586b21a0
158ca112a372
hex4f2aeab830

340022442032 has 160 divisors (see below), whose sum is σ = 845276565504. Its totient is φ = 128884608000.

The previous prime is 340022442031. The next prime is 340022442037. The reversal of 340022442032 is 230244220043.

It is a happy number.

It is a super-2 number, since 2×3400224420322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 340022441992 and 340022442010.

It is not an unprimeable number, because it can be changed into a prime (340022442031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4521443 + ... + 4596029.

Almost surely, 2340022442032 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 340022442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422638282752).

340022442032 is an abundant number, since it is smaller than the sum of its proper divisors (505254123472).

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

340022442032 is a wasteful number, since it uses less digits than its factorization.

340022442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74747 (or 74741 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 340022442032 its reverse (230244220043), we get a palindrome (570266662075).

The spelling of 340022442032 in words is "three hundred forty billion, twenty-two million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 101 104 112 124 182 202 208 217 248 364 403 404 434 496 707 728 806 808 868 1313 1414 1456 1612 1616 1736 2626 2821 2828 3131 3224 3472 5252 5642 5656 6262 6448 9191 10504 11284 11312 12524 18382 21008 21917 22568 25048 36764 40703 43834 45136 50096 73528 74587 81406 87668 147056 149174 162812 175336 284921 298348 325624 350672 522109 569842 596696 651248 969631 1044218 1139684 1193392 1939262 2088436 2279368 2312197 3878524 4176872 4558736 4624394 6787417 7533287 7757048 8353744 9248788 13574834 15066574 15514096 16185379 18497576 27149668 30058561 30133148 32370758 36995152 52733009 54299336 60117122 60266296 64741516 97932731 105466018 108598672 120234244 120532592 129483032 195865462 210409927 210932036 233531897 240468488 258966064 391730924 420819854 421864072 467063794 480936976 685529117 783461848 841639708 843728144 934127588 1371058234 1566923696 1634723279 1683279416 1868255176 2742116468 3035914661 3269446558 3366558832 3736510352 5484232936 6071829322 6538893116 10968465872 12143658644 13077786232 21251402627 24287317288 26155572464 42502805254 48574634576 85005610508 170011221016 340022442032