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34034322130340 = 22572271128150923
BaseRepresentation
bin1111011110100001110111…
…01011100100010110100100
311110111122112102112022222212
413233100323223210112210
513430104242431132330
6200215052435342552
710111620141605300
oct757207353442644
9143448472468885
1034034322130340
11a93196962a1a4
1239980b5751a58
1315cb565b9a23c
148593acb7cd00
153e049e064295
hex1ef43bae45a4

34034322130340 has 72 divisors (see below), whose sum is σ = 83447780879232. Its totient is φ = 11625851643840.

The previous prime is 34034322130327. The next prime is 34034322130343. The reversal of 34034322130340 is 4303122343043.

It is a junction number, because it is equal to n+sod(n) for n = 34034322130297 and 34034322130306.

It is not an unprimeable number, because it can be changed into a prime (34034322130343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63809882 + ... + 64341041.

It is an arithmetic number, because the mean of its divisors is an integer number (1158996956656).

Almost surely, 234034322130340 is an apocalyptic number.

It is an amenable number.

34034322130340 is an abundant number, since it is smaller than the sum of its proper divisors (49413458748892).

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

34034322130340 is a wasteful number, since it uses less digits than its factorization.

34034322130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128151217 (or 128151208 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 34034322130340 its reverse (4303122343043), we get a palindrome (38337444473383).

The spelling of 34034322130340 in words is "thirty-four trillion, thirty-four billion, three hundred twenty-two million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 271 490 542 980 1084 1355 1897 2710 3794 5420 7588 9485 13279 18970 26558 37940 53116 66395 132790 265580 128150923 256301846 512603692 640754615 897056461 1281509230 1794112922 2563018460 3588225844 4485282305 6279395227 8970564610 12558790454 17941129220 25117580908 31396976135 34728900133 62793952270 69457800266 125587904540 138915600532 173644500665 243102300931 347289001330 486204601862 694578002660 972409203724 1215511504655 1701716106517 2431023009310 3403432213034 4862046018620 6806864426068 8508580532585 17017161065170 34034322130340