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340230223114304 = 2653433947994817
BaseRepresentation
bin100110101011100000000010…
…1100101110011000001000000
31122121122200200020021120022212
41031113000011211303001000
5324043312444104124204
63203335335020521252
7131443552045653515
oct11527000545630100
91577580606246285
10340230223114304
1199453911189906
12321aaa913b0228
13117ac759671923
146003332d1930c
15295027eeebc6e
hex1357005973040

340230223114304 has 112 divisors (see below), whose sum is σ = 688327694208000. Its totient is φ = 166797520920576.

The previous prime is 340230223114157. The next prime is 340230223114307. The reversal of 340230223114304 is 403411322032043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (340230223114307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70631142104 + ... + 70631146920.

It is an arithmetic number, because the mean of its divisors is an integer number (6145782984000).

Almost surely, 2340230223114304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340230223114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344163847104000).

340230223114304 is an abundant number, since it is smaller than the sum of its proper divisors (348097471093696).

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

340230223114304 is a wasteful number, since it uses less digits than its factorization.

340230223114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14020 (or 14010 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 340230223114304 its reverse (403411322032043), we get a palindrome (743641545146347).

The spelling of 340230223114304 in words is "three hundred forty trillion, two hundred thirty billion, two hundred twenty-three million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 4339 4799 4817 8678 9598 9634 17356 19196 19268 34712 38392 38536 69424 76784 77072 138848 153568 154144 229967 254347 255301 277696 307136 308288 459934 508694 510602 919868 1017388 1021204 1839736 2034776 2042408 3679472 4069552 4084816 7358944 8139104 8169632 14717888 16278208 16339264 20822861 20900963 23116783 41645722 41801926 46233566 83291444 83603852 92467132 166582888 167207704 184934264 333165776 334415408 369868528 666331552 668830816 739737056 1103611633 1107751039 1225189499 1332663104 1337661632 1479474112 2207223266 2215502078 2450378998 4414446532 4431004156 4900757996 8828893064 8862008312 9801515992 17657786128 17724016624 19603031984 35315572256 35448033248 39206063968 70631144512 70896066496 78412127936 100303721437 200607442874 401214885748 802429771496 1604859542992 3209719085984 5316097236161 6419438171968 10632194472322 21264388944644 42528777889288 85057555778576 170115111557152 340230223114304