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3342334230 = 232553712139
BaseRepresentation
bin1100011100110111…
…1111100100010110
322121221012011121200
43013031333210112
523321114143410
61311353453330
7145553241444
oct30715774426
98557164550
103342334230
11146572a1a4
12793411246
134135b5481
14239c79b94
151486663c0
hexc737f916

3342334230 has 144 divisors (see below), whose sum is σ = 9045101520. Its totient is φ = 855953280.

The previous prime is 3342334211. The next prime is 3342334243. The reversal of 3342334230 is 324332433.

3342334230 is a `hidden beast` number, since 3 + 3 + 4 + 233 + 423 + 0 = 666.

It is a super-2 number, since 2×33423342302 = 22342396210059385800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3342334194 and 3342334203.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 24045501 + ... + 24045639.

It is an arithmetic number, because the mean of its divisors is an integer number (62813205).

Almost surely, 23342334230 is an apocalyptic number.

3342334230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342334230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522550760).

3342334230 is an abundant number, since it is smaller than the sum of its proper divisors (5702767290).

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

3342334230 is a wasteful number, since it uses less digits than its factorization.

3342334230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 3342334230 is about 57812.9244200637. The cubic root of 3342334230 is about 1495.1449291458.

Adding to 3342334230 its reverse (324332433), we get a palindrome (3666666663).

The spelling of 3342334230 in words is "three billion, three hundred forty-two million, three hundred thirty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 71 90 106 139 142 159 213 265 278 318 355 417 426 477 530 639 695 710 795 834 954 1065 1251 1278 1390 1590 2085 2130 2385 2502 3195 3763 4170 4770 5041 6255 6390 7367 7526 9869 10082 11289 12510 14734 15123 18815 19738 22101 22578 25205 29607 30246 33867 36835 37630 44202 45369 49345 50410 56445 59214 66303 67734 73670 75615 88821 90738 98690 110505 112890 132606 148035 151230 169335 177642 221010 226845 267173 296070 331515 338670 444105 453690 523057 534346 663030 700699 801519 888210 1046114 1335865 1401398 1569171 1603038 2102097 2404557 2615285 2671730 3138342 3503495 4007595 4204194 4707513 4809114 5230570 6306291 7006990 7845855 8015190 9415026 10510485 12022785 12612582 15691710 21020970 23537565 24045570 31531455 37137047 47075130 63062910 74274094 111411141 185685235 222822282 334233423 371370470 557055705 668466846 1114111410 1671167115 3342334230