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342843133416 = 233723193145949
BaseRepresentation
bin1001111110100110000…
…10110000110111101000
31012202221022211201002020
410333103002300313220
521104120320232131
6421255554104440
733524654360010
oct4772302606750
91182838751066
10342843133416
11122443013583
125654157b120
1326439c31224
1412845160c40
158db8aa0996
hex4fd30b0de8

342843133416 has 128 divisors (see below), whose sum is σ = 1022692608000. Its totient is φ = 93645699840.

The previous prime is 342843133403. The next prime is 342843133481. The reversal of 342843133416 is 614331348243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 7438410 + ... + 7484358.

It is an arithmetic number, because the mean of its divisors is an integer number (7989786000).

Almost surely, 2342843133416 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 342843133416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511346304000).

342843133416 is an abundant number, since it is smaller than the sum of its proper divisors (679849474584).

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

342843133416 is a wasteful number, since it uses less digits than its factorization.

342843133416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47919 (or 47915 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 342843133416 in words is "three hundred forty-two billion, eight hundred forty-three million, one hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1931 1932 3862 3864 5793 7724 11586 13517 15448 23172 27034 40551 44413 45949 46344 54068 81102 88826 91898 108136 133239 137847 162204 177652 183796 266478 275694 310891 321643 324408 355304 367592 532956 551388 621782 643286 932673 964929 1056827 1065912 1102776 1243564 1286572 1865346 1929858 2113654 2487128 2573144 3170481 3730692 3859716 4227308 6340962 7397789 7461384 7719432 8454616 12681924 14795578 22193367 25363848 29591156 44386734 59182312 88727519 88773468 177455038 177546936 266182557 354910076 532365114 621092633 709820152 1064730228 1242185266 1863277899 2040732937 2129460456 2484370532 3726555798 4081465874 4968741064 6122198811 7453111596 8162931748 12244397622 14285130559 14906223192 16325863496 24488795244 28570261118 42855391677 48977590488 57140522236 85710783354 114281044472 171421566708 342843133416