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340441252000 = 2553175006489
BaseRepresentation
bin1001111010000111110…
…00010100000010100000
31012112201221021111012021
410331003320110002200
521034210430031000
6420221353311224
733411310616203
oct4750370240240
91175657244167
10340441252000
11121420236513
1255b91105514
1326146437115
141269817193a
158cc7ca711a
hex4f43e140a0

340441252000 has 96 divisors (see below), whose sum is σ = 885668106960. Its totient is φ = 128166092800.

The previous prime is 340441251979. The next prime is 340441252033. The reversal of 340441252000 is 252144043.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30196707984 + 310244544016 = 173772^2 + 556996^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2435245 + ... + 2571244.

Almost surely, 2340441252000 is an apocalyptic number.

It is an amenable number.

340441252000 is an abundant number, since it is smaller than the sum of its proper divisors (545226854960).

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

340441252000 is a wasteful number, since it uses less digits than its factorization.

340441252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006531 (or 5006513 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 340441252000 its reverse (252144043), we get a palindrome (340693396043).

The spelling of 340441252000 in words is "three hundred forty billion, four hundred forty-one million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 5006489 10012978 20025956 25032445 40051912 50064890 80103824 85110313 100129780 125162225 160207648 170220626 200259560 250324450 340441252 400519120 425551565 500648900 625811125 680882504 801038240 851103130 1001297800 1251622250 1361765008 1702206260 2002595600 2127757825 2503244500 2723530016 3404412520 4005191200 4255515650 5006489000 6808825040 8511031300 10012978000 10638789125 13617650080 17022062600 20025956000 21277578250 34044125200 42555156500 68088250400 85110313000 170220626000 340441252000