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342104420 = 22575983499
BaseRepresentation
bin10100011001000…
…001100101100100
3212211201201001002
4110121001211210
51200034320140
653540252432
711322560660
oct2431014544
9784651032
10342104420
11166122129
12966a1118
1355b50468
14336138a0
1520079415
hex14641964

342104420 has 96 divisors (see below), whose sum is σ = 846720000. Its totient is φ = 113687424.

The previous prime is 342104407. The next prime is 342104423. The reversal of 342104420 is 24401243.

342104420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

342104420 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 342104392 and 342104401.

It is not an unprimeable number, because it can be changed into a prime (342104423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685331 + ... + 685829.

It is an arithmetic number, because the mean of its divisors is an integer number (8820000).

Almost surely, 2342104420 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 342104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360000).

342104420 is an abundant number, since it is smaller than the sum of its proper divisors (504615580).

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

342104420 is a wasteful number, since it uses less digits than its factorization.

342104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 342104420 is about 18496.0649869101. The cubic root of 342104420 is about 699.3902308899.

Adding to 342104420 its reverse (24401243), we get a palindrome (366505663).

The spelling of 342104420 in words is "three hundred forty-two million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 83 118 140 166 236 295 332 413 415 499 581 590 826 830 998 1162 1180 1652 1660 1996 2065 2324 2495 2905 3493 4130 4897 4990 5810 6986 8260 9794 9980 11620 13972 17465 19588 24485 29441 34279 34930 41417 48970 58882 68558 69860 82834 97940 117764 137116 147205 165668 171395 206087 207085 289919 294410 342790 412174 414170 579838 588820 685580 824348 828340 1030435 1159676 1449595 2060870 2443603 2899190 4121740 4887206 5798380 9774412 12218015 17105221 24436030 34210442 48872060 68420884 85526105 171052210 342104420