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340005479632 = 247138914331831
BaseRepresentation
bin1001111001010011110…
…01111110010011010000
31012111121120021221212221
410330221321332103100
521032312400322012
6420110225230424
733364436614630
oct4745171762320
91174546257787
10340005479632
11121217258265
1255a8b192414
13260a707c350
14126563386c0
158c9e8c9507
hex4f29e7e4d0

340005479632 has 160 divisors (see below), whose sum is σ = 820912458240. Its totient is φ = 132830945280.

The previous prime is 340005479621. The next prime is 340005479633. The reversal of 340005479632 is 236974500043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340005479633) 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, 185692957 + ... + 185694787.

It is an arithmetic number, because the mean of its divisors is an integer number (5130702864).

Almost surely, 2340005479632 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 340005479632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410456229120).

340005479632 is an abundant number, since it is smaller than the sum of its proper divisors (480906978608).

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

340005479632 is a wasteful number, since it uses less digits than its factorization.

340005479632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

Adding to 340005479632 its reverse (236974500043), we get a palindrome (576979979675).

The spelling of 340005479632 in words is "three hundred forty billion, five million, four hundred seventy-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 89 91 104 112 178 182 208 356 364 623 712 728 1157 1246 1424 1433 1456 1831 2314 2492 2866 3662 4628 4984 5732 7324 8099 9256 9968 10031 11464 12817 14648 16198 18512 18629 20062 22928 23803 25634 29296 32396 37258 40124 47606 51268 64792 74516 80248 95212 102536 127537 129584 130403 149032 160496 162959 166621 190424 205072 255074 260806 298064 325918 333242 380848 510148 521612 651836 666484 892759 1020296 1043224 1140713 1303672 1332968 1657981 1785518 2040592 2086448 2118467 2281426 2607344 2623823 2665936 3315962 3571036 4236934 4562852 5247646 6631924 7142072 8473868 9125704 10495292 11605867 13263848 14284144 14829269 16947736 18251408 18366761 20990584 23211734 26527696 29658538 33895472 34109699 36733522 41981168 46423468 59317076 68219398 73467044 92846936 118634152 136438796 146934088 185693872 233520247 237268304 238767893 272877592 293868176 467040494 477535786 545755184 934080988 955071572 1634641729 1868161976 1910143144 3035763211 3269283458 3736323952 3820286288 6071526422 6538566916 12143052844 13077133832 21250342477 24286105688 26154267664 42500684954 48572211376 85001369908 170002739816 340005479632