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342222444 = 2232176189103
BaseRepresentation
bin10100011001011…
…110011001101100
3212211221200221100
4110121132121230
51200102104234
653543003100
711323562034
oct2431363154
9784850840
10342222444
111661a2873
1296739490
1355b920b5
14336448c4
152009e399
hex1465e66c

342222444 has 144 divisors (see below), whose sum is σ = 950564160. Its totient is φ = 103403520.

The previous prime is 342222437. The next prime is 342222457. The reversal of 342222444 is 444222243.

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 47 ways as a sum of consecutive naturals, for example, 3322497 + ... + 3322599.

It is an arithmetic number, because the mean of its divisors is an integer number (6601140).

Almost surely, 2342222444 is an apocalyptic number.

342222444 is a gapful number since it is divisible by the number (34) 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 342222444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475282080).

342222444 is an abundant number, since it is smaller than the sum of its proper divisors (608341716).

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

342222444 is a wasteful number, since it uses less digits than its factorization.

342222444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 342222444 is about 18499.2552282518. The cubic root of 342222444 is about 699.4706501392.

Adding to 342222444 its reverse (444222243), we get a palindrome (786444687).

The spelling of 342222444 in words is "three hundred forty-two million, two hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 89 102 103 122 153 178 183 204 206 244 267 306 309 356 366 412 534 549 612 618 732 801 927 1037 1068 1098 1236 1513 1602 1751 1854 2074 2196 3026 3111 3204 3502 3708 4148 4539 5253 5429 6052 6222 6283 7004 9078 9167 9333 10506 10858 12444 12566 13617 15759 16287 18156 18334 18666 18849 21012 21716 25132 27234 27501 31518 32574 36668 37332 37698 48861 54468 55002 56547 63036 65148 75396 82503 92293 97722 106811 110004 113094 155839 165006 184586 195444 213622 226188 276879 311678 320433 330012 369172 427244 467517 553758 559187 623356 640866 830637 935034 961299 1107516 1118374 1281732 1402551 1661274 1677561 1870068 1922598 2236748 2805102 3322548 3355122 3845196 5032683 5610204 6710244 9506179 10065366 19012358 20130732 28518537 38024716 57037074 85555611 114074148 171111222 342222444