Search a number
-
+
343282997904 = 243711891043591
BaseRepresentation
bin1001111111011010100…
…00101101101010010000
31012211001222112010201120
410333231100231222100
521111020421413104
6421411350002240
733541605223530
oct4775520555220
91184058463646
10343282997904
11122649337250
1256644946380
13264aa0bc782
14128877414c0
158de24dacd9
hex4fed42da90

343282997904 has 160 divisors (see below), whose sum is σ = 1118062725120. Its totient is φ = 88162483200.

The previous prime is 343282997903. The next prime is 343282997947. The reversal of 343282997904 is 409799282343.

343282997904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (343282997903) 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, 192852 + ... + 850739.

It is an arithmetic number, because the mean of its divisors is an integer number (6987892032).

Almost surely, 2343282997904 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 343282997904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559031362560).

343282997904 is an abundant number, since it is smaller than the sum of its proper divisors (774779727216).

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

343282997904 is a wasteful number, since it uses less digits than its factorization.

343282997904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043709 (or 1043703 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 343282997904 in words is "three hundred forty-three billion, two hundred eighty-two million, nine hundred ninety-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 89 112 132 154 168 176 178 231 264 267 308 336 356 462 528 534 616 623 712 924 979 1068 1232 1246 1424 1848 1869 1958 2136 2492 2937 3696 3738 3916 4272 4984 5874 6853 7476 7832 9968 11748 13706 14952 15664 20559 23496 27412 29904 41118 46992 54824 82236 109648 164472 328944 1043591 2087182 3130773 4174364 6261546 7305137 8348728 11479501 12523092 14610274 16697456 21915411 22959002 25046184 29220548 34438503 43830822 45918004 50092368 58441096 68877006 80356507 87661644 91836008 92879599 116882192 137754012 160713014 175323288 183672016 185759198 241069521 275508024 278638797 321426028 350646576 371518396 482139042 551016048 557277594 642852056 650157193 743036792 964278084 1021675589 1114555188 1285704112 1300314386 1486073584 1928556168 1950471579 2043351178 2229110376 2600628772 3065026767 3857112336 3900943158 4086702356 4458220752 5201257544 6130053534 7151729123 7801886316 8173404712 10402515088 12260107068 14303458246 15603772632 16346809424 21455187369 24520214136 28606916492 31207545264 42910374738 49040428272 57213832984 85820749476 114427665968 171641498952 343282997904