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342203220 = 223254189521
BaseRepresentation
bin10100011001011…
…001101101010100
3212211220201120100
4110121121231110
51200101000340
653542334100
711323452012
oct2431315524
9784821510
10342203220
1116618a387
129672a330
1355b86418
143363b8b2
1520098830
hex14659b54

342203220 has 144 divisors (see below), whose sum is σ = 1077345360. Its totient is φ = 87859200.

The previous prime is 342203189. The next prime is 342203231. The reversal of 342203220 is 22302243.

342203220 is a `hidden beast` number, since 342 + 2 + 0 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 118461456 + 223741764 = 10884^2 + 14958^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 342203193 and 342203202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656560 + ... + 657080.

It is an arithmetic number, because the mean of its divisors is an integer number (7481565).

Almost surely, 2342203220 is an apocalyptic number.

342203220 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 342203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538672680).

342203220 is an abundant number, since it is smaller than the sum of its proper divisors (735142140).

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

342203220 is a wasteful number, since it uses less digits than its factorization.

342203220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 342203220 is about 18498.7356324696. The cubic root of 342203220 is about 699.4575525416.

Adding to 342203220 its reverse (22302243), we get a palindrome (364505463).

The spelling of 342203220 in words is "three hundred forty-two million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 89 90 123 164 178 180 205 246 267 356 369 410 445 492 521 534 615 738 801 820 890 1042 1068 1230 1335 1476 1563 1602 1780 1845 2084 2460 2605 2670 3126 3204 3649 3690 4005 4689 5210 5340 6252 7298 7380 7815 8010 9378 10420 10947 14596 15630 16020 18245 18756 21361 21894 23445 31260 32841 36490 42722 43788 46369 46890 54735 64083 65682 72980 85444 92738 93780 106805 109470 128166 131364 139107 164205 185476 192249 213610 218940 231845 256332 278214 320415 328410 384498 417321 427220 463690 556428 640830 656820 695535 768996 834642 927380 961245 1281660 1391070 1669284 1901129 1922490 2086605 2782140 3802258 3844980 4173210 5703387 7604516 8346420 9505645 11406774 17110161 19011290 22813548 28516935 34220322 38022580 57033870 68440644 85550805 114067740 171101610 342203220