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340313230404 = 2232711387713627
BaseRepresentation
bin1001111001111000011…
…11111100110001000100
31012112102000101022120200
410330330033330301010
521033430141333104
6420200541330500
733405164505330
oct4747417746104
91175360338520
10340313230404
11121364a45a44
1255b56266a30
1326125a61cb4
14126851687c0
158cbb919b39
hex4f3c3fcc44

340313230404 has 144 divisors (see below), whose sum is σ = 993031148928. Its totient is φ = 96254936064.

The previous prime is 340313230399. The next prime is 340313230417. The reversal of 340313230404 is 404032313043.

340313230404 is a `hidden beast` number, since 3 + 40 + 313 + 2 + 304 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24966639 + ... + 24980265.

Almost surely, 2340313230404 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 340313230404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496515574464).

340313230404 is an abundant number, since it is smaller than the sum of its proper divisors (652717918524).

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

340313230404 is a wasteful number, since it uses less digits than its factorization.

340313230404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14634 (or 14629 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 340313230404 its reverse (404032313043), we get a palindrome (744345543447).

The spelling of 340313230404 in words is "three hundred forty billion, three hundred thirteen million, two hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 877 1017 1356 1582 1754 2034 2373 2631 3164 3508 4068 4746 5262 6139 7119 7893 9492 10524 12278 13627 14238 15786 18417 24556 27254 28476 31572 36834 40881 54508 55251 73668 81762 95389 99101 110502 122643 163524 190778 198202 221004 245286 286167 297303 381556 396404 490572 572334 594606 693707 858501 891909 1144668 1189212 1387414 1539851 1717002 1783818 2081121 2774828 3079702 3434004 3567636 4162242 4619553 6159404 6243363 8324484 9239106 10778957 11950879 12486726 13858659 18478212 21557914 23901758 24973452 27717318 32336871 35852637 43115828 47803516 55434636 64673742 71705274 83656153 97010613 107557911 129347484 143410548 167312306 194021226 215115822 250968459 334624612 388042452 430231644 501936918 752905377 1003873836 1350449327 1505810754 2700898654 3011621508 4051347981 5401797308 8102695962 9453145289 12154043943 16205391924 18906290578 24308087886 28359435867 37812581156 48616175772 56718871734 85078307601 113437743468 170156615202 340313230404