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340324120104 = 233377319072753
BaseRepresentation
bin1001111001111001110…
…01011111011000101000
31012112102202212120102220
410330330321133120220
521033440433320404
6420202010554040
733405356201613
oct4747471373050
91175382776386
10340324120104
111213701035a1
1255b59a38920
13261280a57c7
14126867a117a
158cbc86b4d9
hex4f3ce5f628

340324120104 has 128 divisors (see below), whose sum is σ = 886561511040. Its totient is φ = 108766789632.

The previous prime is 340324120061. The next prime is 340324120109. The reversal of 340324120104 is 401021423043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (340324120109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123617992 + ... + 123620744.

It is an arithmetic number, because the mean of its divisors is an integer number (6926261805).

Almost surely, 2340324120104 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 340324120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443280755520).

340324120104 is an abundant number, since it is smaller than the sum of its proper divisors (546237390936).

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

340324120104 is a wasteful number, since it uses less digits than its factorization.

340324120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 340324120104 its reverse (401021423043), we get a palindrome (741345543147).

The spelling of 340324120104 in words is "three hundred forty billion, three hundred twenty-four million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 73 74 111 146 148 219 222 292 296 438 444 584 876 888 1752 1907 2701 2753 3814 5402 5506 5721 7628 8103 8259 10804 11012 11442 15256 16206 16518 21608 22024 22884 32412 33036 45768 64824 66072 70559 101861 139211 141118 200969 203722 211677 278422 282236 305583 401938 407444 417633 423354 556844 564472 602907 611166 803876 814888 835266 846708 1113688 1205814 1222332 1607752 1670532 1693416 2411628 2444664 3341064 4823256 5150807 5249971 7435853 10301614 10499942 14871706 15452421 15749913 20603228 20999884 22307559 29743412 30904842 31499826 41206456 41999768 44615118 59486824 61809684 62999652 89230236 123619368 125999304 178460472 194248927 383247883 388497854 582746781 766495766 776995708 1149743649 1165493562 1532991532 1553991416 2299487298 2330987124 3065983064 4598974596 4661974248 9197949192 14180171671 28360343342 42540515013 56720686684 85081030026 113441373368 170162060052 340324120104