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340424440104 = 233771241118423
BaseRepresentation
bin1001111010000101110…
…00001011100100101000
31012112200202122100121110
410331002320023210220
521034142124040404
6420215553110320
733411014666010
oct4750270134450
91175622570543
10340424440104
111214117a3491
1255b875583a0
1326142acbb58
1412695c36c40
158cc6585b89
hex4f42e0b928

340424440104 has 128 divisors (see below), whose sum is σ = 990441492480. Its totient is φ = 95495500800.

The previous prime is 340424440093. The next prime is 340424440123. The reversal of 340424440104 is 401044424043.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2815437 + ... + 2933859.

It is an arithmetic number, because the mean of its divisors is an integer number (7737824160).

Almost surely, 2340424440104 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 340424440104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495220746240).

340424440104 is an abundant number, since it is smaller than the sum of its proper divisors (650017052376).

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

340424440104 is a wasteful number, since it uses less digits than its factorization.

340424440104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118751 (or 118747 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 340424440104 its reverse (401044424043), we get a palindrome (741468864147).

The spelling of 340424440104 in words is "three hundred forty billion, four hundred twenty-four million, four hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 241 284 426 482 497 568 723 852 964 994 1446 1491 1687 1704 1928 1988 2892 2982 3374 3976 5061 5784 5964 6748 10122 11928 13496 17111 20244 34222 40488 51333 68444 102666 118423 119777 136888 205332 236846 239554 355269 359331 410664 473692 479108 710538 718662 828961 947384 958216 1421076 1437324 1657922 2486883 2842152 2874648 3315844 4973766 6631688 8408033 9947532 16816066 19895064 25224099 28539943 33632132 50448198 57079886 58856231 67264264 85619829 100896396 114159772 117712462 171239658 176568693 199779601 201792792 228319544 235424924 342479316 353137386 399559202 470849848 599338803 684958632 706274772 799118404 1198677606 1412549544 1598236808 2026335953 2397355212 4052671906 4794710424 6079007859 8105343812 12158015718 14184351671 16210687624 24316031436 28368703342 42553055013 48632062872 56737406684 85106110026 113474813368 170212220052 340424440104