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343720612664 = 2311135940912451
BaseRepresentation
bin1010000000001110101…
…10000101001100111000
31012212012110222021022122
411000013112011030320
521112414434101124
6421523021340412
733555501000362
oct5000726051470
91185173867278
10343720612664
11122853363740
1256747407708
1326549971010
14128c98d7d32
158e1ab2e75e
hex5007585338

343720612664 has 128 divisors (see below), whose sum is σ = 771924384000. Its totient is φ = 141416064000.

The previous prime is 343720612663. The next prime is 343720612691. The reversal of 343720612664 is 466216027343.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343720612663) 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, 27599639 + ... + 27612089.

It is an arithmetic number, because the mean of its divisors is an integer number (6030659250).

Almost surely, 2343720612664 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 343720612664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385962192000).

343720612664 is an abundant number, since it is smaller than the sum of its proper divisors (428203771336).

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

343720612664 is a wasteful number, since it uses less digits than its factorization.

343720612664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12949 (or 12945 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 44.

The spelling of 343720612664 in words is "three hundred forty-three billion, seven hundred twenty million, six hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 59 88 104 118 143 236 286 409 472 572 649 767 818 1144 1298 1534 1636 2596 3068 3272 4499 5192 5317 6136 8437 8998 10634 12451 16874 17996 21268 24131 24902 33748 35992 42536 48262 49804 58487 67496 96524 99608 116974 136961 161863 193048 233948 265441 273922 313703 323726 467896 530882 547844 627406 647452 734609 1061764 1095688 1254812 1294904 1469218 1780493 2123528 2509624 2938436 3450733 3560986 5092459 5876872 6901466 7121972 8080699 9549917 10184918 13802932 14243944 16161398 19099834 20369836 27605864 32322796 38199668 40739672 56017049 64645592 66201967 76399336 105049087 112034098 132403934 210098174 224068196 264807868 300455081 420196348 448136392 529615736 600910162 728221637 840392696 1201820324 1456443274 2403640648 2912886548 3305005891 3905916053 5825773096 6610011782 7811832106 13220023564 15623664212 26440047128 31247328424 42965076583 85930153166 171860306332 343720612664