Search a number
-
+
341043104000 = 285371150107
BaseRepresentation
bin1001111011001111100…
…00001100100100000000
31012121021212202201221002
410331213300030210000
521041424013312000
6420401213151132
733432236360564
oct4754760144400
91177255681832
10341043104000
111216a9a39865
125611a78b4a8
1326211030971
141271407b6a4
158d10a3d8d5
hex4f67c0c900

341043104000 has 144 divisors (see below), whose sum is σ = 861552671616. Its totient is φ = 134494976000.

The previous prime is 341043103949. The next prime is 341043104041. The reversal of 341043104000 is 401340143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2196947 + ... + 2347053.

It is an arithmetic number, because the mean of its divisors is an integer number (5983004664).

Almost surely, 2341043104000 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 341043104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430776335808).

341043104000 is an abundant number, since it is smaller than the sum of its proper divisors (520509567616).

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

341043104000 is an equidigital number, since it uses as much as digits as its factorization.

341043104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150209 (or 150185 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 341043104000 its reverse (401340143), we get a palindrome (341444444143).

The spelling of 341043104000 in words is "three hundred forty-one billion, forty-three million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 128 142 160 200 250 256 284 320 355 400 500 568 640 710 800 1000 1136 1280 1420 1600 1775 2000 2272 2840 3200 3550 4000 4544 5680 6400 7100 8000 8875 9088 11360 14200 16000 17750 18176 22720 28400 32000 35500 45440 56800 71000 90880 113600 142000 150107 227200 284000 300214 454400 568000 600428 750535 1136000 1200856 1501070 2272000 2401712 3002140 3752675 4803424 6004280 7505350 9606848 10657597 12008560 15010700 18763375 19213696 21315194 24017120 30021400 37526750 38427392 42630388 48034240 53287985 60042800 75053500 85260776 96068480 106575970 120085600 150107000 170521552 192136960 213151940 240171200 266439925 300214000 341043104 426303880 480342400 532879850 600428000 682086208 852607760 960684800 1065759700 1200856000 1332199625 1364172416 1705215520 2131519400 2401712000 2664399250 2728344832 3410431040 4263038800 4803424000 5328798500 6820862080 8526077600 10657597000 13641724160 17052155200 21315194000 34104310400 42630388000 68208620800 85260776000 170521552000 341043104000