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340032131352 = 233227117426821
BaseRepresentation
bin1001111001010110111…
…11101001000100011000
31012111200102110000011200
410330223133221010120
521032341211200402
6420113020354200
733365212266504
oct4745337510430
91174612400150
10340032131352
11121230301081
1255a980a5960
13260ac7512b4
1412659ab5304
158ca1de121c
hex4f2b7e9118

340032131352 has 48 divisors (see below), whose sum is σ = 924318638880. Its totient is φ = 112925793600.

The previous prime is 340032131239. The next prime is 340032131359. The reversal of 340032131352 is 253131230043.

340032131352 is a `hidden beast` number, since 340 + 0 + 3 + 2 + 1 + 313 + 5 + 2 = 666.

340032131352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340032131359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8693899 + ... + 8732922.

It is an arithmetic number, because the mean of its divisors is an integer number (19256638310).

Almost surely, 2340032131352 is an apocalyptic number.

It is an amenable number.

340032131352 is an abundant number, since it is smaller than the sum of its proper divisors (584286507528).

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

340032131352 is a wasteful number, since it uses less digits than its factorization.

340032131352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17427104 (or 17427097 counting only the distinct ones).

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

Adding to 340032131352 its reverse (253131230043), we get a palindrome (593163361395).

The spelling of 340032131352 in words is "three hundred forty billion, thirty-two million, one hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 271 542 813 1084 1626 2168 2439 3252 4878 6504 9756 19512 17426821 34853642 52280463 69707284 104560926 139414568 156841389 209121852 313682778 418243704 627365556 1254731112 4722668491 9445336982 14168005473 18890673964 28336010946 37781347928 42504016419 56672021892 85008032838 113344043784 170016065676 340032131352