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342300231430224 = 24371619916202647
BaseRepresentation
bin100110111010100011111101…
…1101100110111000001010000
31122212222120201200010100110120
41031311013323230313001100
5324331221333221231344
63212002315551030240
7132046242556225104
oct11565077354670120
91585876650110416
10342300231430224
119a081792991621
12324840b2b0b380
13118cca08ca27b2
1460755c3547904
1529890341ce219
hex13751fbb37050

342300231430224 has 80 divisors (see below), whose sum is σ = 896874896332800. Its totient is φ = 112474879896960.

The previous prime is 342300231430139. The next prime is 342300231430229. The reversal of 342300231430224 is 422034132003243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342300231430229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13024869 + ... + 29227515.

It is an arithmetic number, because the mean of its divisors is an integer number (11210936204160).

Almost surely, 2342300231430224 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 342300231430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448437448166400).

342300231430224 is an abundant number, since it is smaller than the sum of its proper divisors (554574664902576).

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

342300231430224 is a wasteful number, since it uses less digits than its factorization.

342300231430224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16208928 (or 16208922 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 342300231430224 its reverse (422034132003243), we get a palindrome (764334363433467).

The spelling of 342300231430224 in words is "three hundred forty-two trillion, three hundred billion, two hundred thirty-one million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 6199 12398 18597 24796 37194 49592 74388 99184 148776 297552 440129 880258 1320387 1760516 2640774 3521032 5281548 7042064 10563096 16202647 21126192 32405294 48607941 64810588 97215882 129621176 194431764 259242352 388863528 777727056 1150387937 2300775874 3451163811 4601551748 6902327622 9203103496 13804655244 18406206992 27609310488 55218620976 100440208753 200880417506 301320626259 401760835012 602641252518 803521670024 1205282505036 1607043340048 2410565010072 4821130020144 7131254821463 14262509642926 21393764464389 28525019285852 42787528928778 57050038571704 85575057857556 114100077143408 171150115715112 342300231430224