Search a number
-
+
34227848970 = 2335722587139
BaseRepresentation
bin11111111000001000…
…111000011100001010
310021100101201212212000
4133320020320130022
51030044312131340
623420221331430
72321124626100
oct377010703412
9107311655760
1034227848970
1113574801597
126772a06b76
1332c6271993
141929b4dc70
15d54da9d30
hex7f823870a

34227848970 has 96 divisors (see below), whose sum is σ = 106176225600. Its totient is φ = 7823505312.

The previous prime is 34227848957. The next prime is 34227848983. The reversal of 34227848970 is 7984872243.

It is a happy number.

34227848970 is a `hidden beast` number, since 3 + 4 + 22 + 78 + 489 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (34227848957) and next prime (34227848983).

It is a super-2 number, since 2×342278489702 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1280340 + ... + 1306799.

It is an arithmetic number, because the mean of its divisors is an integer number (1106002350).

Almost surely, 234227848970 is an apocalyptic number.

34227848970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34227848970 is an abundant number, since it is smaller than the sum of its proper divisors (71948376630).

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

34227848970 is a wasteful number, since it uses less digits than its factorization.

34227848970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587169 (or 2587156 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 34227848970 in words is "thirty-four billion, two hundred twenty-seven million, eight hundred forty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230 2587139 5174278 7761417 12935695 15522834 18109973 23284251 25871390 36219946 38807085 46568502 54329919 69852753 77614170 90549865 108659838 116421255 126769811 139705506 162989757 181099730 232842510 253539622 271649595 325979514 349263765 380309433 488969271 543299190 633849055 698527530 760618866 814948785 977938542 1140928299 1267698110 1629897570 1901547165 2281856598 2444846355 3422784897 3803094330 4889692710 5704641495 6845569794 11409282990 17113924485 34227848970