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312343004341434 = 231143591865380277
BaseRepresentation
bin100011100000100110000010…
…1110100100110010010111010
31111221220200220000012121120010
41013001030011310212102322
5311414411433102411214
63024144221215442350
7122535015551342613
oct10701140564462272
91457820800177503
10312343004341434
1190581a19204870
122b0462002263b6
1310538a8524a181
14571b6a6b3ac0a
152619b59575659
hex11c1305d264ba

312343004341434 has 64 divisors (see below), whose sum is σ = 709142966484480. Its totient is φ = 90881327046720.

The previous prime is 312343004341393. The next prime is 312343004341439. The reversal of 312343004341434 is 434143400343213.

It is a super-3 number, since 3×3123430043414343 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 312343004341392 and 312343004341401.

It is not an unprimeable number, because it can be changed into a prime (312343004341439) 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, 932522697 + ... + 932857580.

It is an arithmetic number, because the mean of its divisors is an integer number (11080358851320).

Almost surely, 2312343004341434 is an apocalyptic number.

312343004341434 is an abundant number, since it is smaller than the sum of its proper divisors (396799962143046).

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

312343004341434 is a wasteful number, since it uses less digits than its factorization.

312343004341434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865380395.

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 312343004341434 its reverse (434143400343213), we get a palindrome (746486404684647).

The spelling of 312343004341434 in words is "three hundred twelve trillion, three hundred forty-three billion, four million, three hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 43 59 66 86 118 129 177 258 354 473 649 946 1298 1419 1947 2537 2838 3894 5074 7611 15222 27907 55814 83721 167442 1865380277 3730760554 5596140831 11192281662 20519183047 41038366094 61557549141 80211351911 110057436343 123115098282 160422703822 220114872686 240634055733 330172309029 481268111466 660344618058 882324871021 1210631799773 1764649742042 2421263599546 2646974613063 3631895399319 4732469762749 5293949226126 7263790798638 9464939525498 14197409288247 28394818576494 52057167390239 104114334780478 156171502170717 312343004341434