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342341244300 = 2235211144771693
BaseRepresentation
bin1001111101101010010…
…00001101010110001100
31012201122100110002122110
410332311020031112030
521102103324304200
6421134104544020
733506351364306
oct4766510152614
91181570402573
10342341244300
11122205786890
1256421482010
1326389c67313
14127d8636976
158d899b2b50
hex4fb520d58c

342341244300 has 144 divisors (see below), whose sum is σ = 1081315291392. Its totient is φ = 82933305600.

The previous prime is 342341244269. The next prime is 342341244317. The reversal of 342341244300 is 3442143243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4739254 + ... + 4810946.

It is an arithmetic number, because the mean of its divisors is an integer number (7509133968).

Almost surely, 2342341244300 is an apocalyptic number.

342341244300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342341244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540657645696).

342341244300 is an abundant number, since it is smaller than the sum of its proper divisors (738974047092).

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

342341244300 is a wasteful number, since it uses less digits than its factorization.

342341244300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73168 (or 73161 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 342341244300 its reverse (3442143243), we get a palindrome (345783387543).

The spelling of 342341244300 in words is "three hundred forty-two billion, three hundred forty-one million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1447 1650 2894 3300 4341 5788 7235 8682 14470 15917 17364 21705 28940 31834 36175 43410 47751 63668 71693 72350 79585 86820 95502 108525 143386 144700 159170 191004 215079 217050 238755 286772 318340 358465 397925 430158 434100 477510 716930 788623 795850 860316 955020 1075395 1193775 1433860 1577246 1591700 1792325 2150790 2365869 2387550 3154492 3584650 3943115 4301580 4731738 4775100 5376975 7169300 7886230 9463476 10753950 11829345 15772460 19715575 21507900 23658690 39431150 47317380 59146725 78862300 103739771 118293450 207479542 236586900 311219313 414959084 518698855 622438626 1037397710 1141137481 1244877252 1556096565 2074795420 2282274962 2593494275 3112193130 3423412443 4564549924 5186988550 5705687405 6224386260 6846824886 7780482825 10373977100 11411374810 13693649772 15560965650 17117062215 22822749620 28528437025 31121931300 34234124430 57056874050 68468248860 85585311075 114113748100 171170622150 342341244300