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340135143030 = 233517229732261
BaseRepresentation
bin1001111001100011010…
…00100110011001110110
31012111221121021112122000
410330301220212121312
521033044044034110
6420131140320130
733400603004214
oct4746150463166
91174847245560
10340135143030
1112128346a2a1
1255b066a3046
13260c7baa857
141266964bcb4
158caae8d1c0
hex4f31a26676

340135143030 has 128 divisors (see below), whose sum is σ = 960829464960. Its totient is φ = 85327441920.

The previous prime is 340135142939. The next prime is 340135143113. The reversal of 340135143030 is 30341531043.

340135143030 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 351 + 4 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 340135142985 and 340135143003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10527100 + ... + 10559360.

It is an arithmetic number, because the mean of its divisors is an integer number (7506480195).

Almost surely, 2340135143030 is an apocalyptic number.

340135143030 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 340135143030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480414732480).

340135143030 is an abundant number, since it is smaller than the sum of its proper divisors (620694321930).

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

340135143030 is a wasteful number, since it uses less digits than its factorization.

340135143030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34591 (or 34585 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 340135143030 its reverse (30341531043), we get a palindrome (370476674073).

The spelling of 340135143030 in words is "three hundred forty billion, one hundred thirty-five million, one hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 2297 4590 4594 6891 11485 13782 20673 22970 32261 34455 39049 41346 62019 64522 68910 78098 96783 103365 117147 124038 161305 193566 195245 206730 234294 290349 310095 322610 351441 390490 483915 548437 580698 585735 620190 702882 871047 967830 1054323 1096874 1171470 1451745 1645311 1742094 1757205 2108646 2742185 2903490 3290622 3514410 4355235 4935933 5271615 5484370 8226555 8710470 9871866 10543230 14807799 16453110 24679665 29615598 49359330 74038995 74103517 148077990 148207034 222310551 370517585 444621102 666931653 741035170 1111552755 1259759789 1333863306 2000794959 2223105510 2519519578 3334658265 3779279367 4001589918 6298798945 6669316530 7558558734 10003974795 11337838101 12597597890 18896396835 20007949590 22675676202 34013514303 37792793670 56689190505 68027028606 113378381010 170067571515 340135143030