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340032131360 = 25517181690673
BaseRepresentation
bin1001111001010110111…
…11101001000100100000
31012111200102110000011222
410330223133221010200
521032341211200420
6420113020354212
733365212266515
oct4745337510440
91174612400158
10340032131360
11121230301089
1255a980a5968
13260ac7512bc
1412659ab530c
158ca1de1225
hex4f2b7e9120

340032131360 has 96 divisors (see below), whose sum is σ = 855280953072. Its totient is φ = 127304663040.

The previous prime is 340032131359. The next prime is 340032131371. The reversal of 340032131360 is 63131230043.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 141162512656 + 198869618704 = 375716^2 + 445948^2 .

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 15 ways as a sum of consecutive naturals, for example, 146984 + ... + 837656.

Almost surely, 2340032131360 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 340032131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427640476536).

340032131360 is an abundant number, since it is smaller than the sum of its proper divisors (515248821712).

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

340032131360 is a wasteful number, since it uses less digits than its factorization.

340032131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690886 (or 690878 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The spelling of 340032131360 in words is "three hundred forty billion, thirty-two million, one hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 181 272 340 362 544 680 724 905 1360 1448 1810 2720 2896 3077 3620 5792 6154 7240 12308 14480 15385 24616 28960 30770 49232 61540 98464 123080 246160 492320 690673 1381346 2762692 3453365 5525384 6906730 11050768 11741441 13813460 22101536 23482882 27626920 46965764 55253840 58707205 93931528 110507680 117414410 125011813 187863056 234828820 250023626 375726112 469657640 500047252 625059065 939315280 1000094504 1250118130 1878630560 2000189008 2125200821 2500236260 4000378016 4250401642 5000472520 8500803284 10000945040 10626004105 17001606568 20001890080 21252008210 34003213136 42504016420 68006426272 85008032840 170016065680 340032131360