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342331422312 = 233111519539011
BaseRepresentation
bin1001111101101001000…
…10101111011001101000
31012201121122222002102010
410332310202233121220
521102043321003222
6421133114235520
733506202035625
oct4766442573150
91181548862363
10342331422312
11122200188440
125641a125ba0
1326387c087a9
14127d71db34c
158d88bc280c
hex4fb48af668

342331422312 has 128 divisors (see below), whose sum is σ = 940904709120. Its totient is φ = 102930240000.

The previous prime is 342331422241. The next prime is 342331422343. The reversal of 342331422312 is 213224133243.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 342331422312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37985887 + ... + 37994897.

It is an arithmetic number, because the mean of its divisors is an integer number (7350818040).

Almost surely, 2342331422312 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 342331422312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470452354560).

342331422312 is an abundant number, since it is smaller than the sum of its proper divisors (598573286808).

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

342331422312 is a wasteful number, since it uses less digits than its factorization.

342331422312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10131 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 342331422312 its reverse (213224133243), we get a palindrome (555555555555).

The spelling of 342331422312 in words is "three hundred forty-two billion, three hundred thirty-one million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 453 604 906 953 1208 1661 1812 1906 2859 3322 3624 3812 4983 5718 6644 7624 9011 9966 10483 11436 13288 18022 19932 20966 22872 27033 31449 36044 39864 41932 54066 62898 72088 83864 99121 108132 125796 143903 198242 216264 251592 287806 297363 396484 431709 575612 594726 792968 863418 1151224 1189452 1360661 1582933 1726836 2378904 2721322 3165866 3453672 4081983 4748799 5442644 6331732 8163966 8587483 9497598 10885288 12663464 14967271 16327932 17174966 18995196 25762449 29934542 32655864 34349932 37990392 44901813 51524898 59869084 68699864 89803626 94462313 103049796 119738168 179607252 188924626 206099592 283386939 359214504 377849252 566773878 755698504 1133547756 1296709933 2267095512 2593419866 3890129799 5186839732 7780259598 10373679464 14263809263 15560519196 28527618526 31121038392 42791427789 57055237052 85582855578 114110474104 171165711156 342331422312