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341040320032 = 251719101326687
BaseRepresentation
bin1001111011001111001…
…01100100111000100000
31012121021200112022001011
410331213211210320200
521041422310220112
6420401033350304
733432203614216
oct4754745447040
91177250468034
10341040320032
111216a8408165
1256119868394
1326210597749
1412713954cb6
158d1068daa7
hex4f67964e20

341040320032 has 96 divisors (see below), whose sum is σ = 755746951680. Its totient is φ = 150536908800.

The previous prime is 341040320029. The next prime is 341040320041. The reversal of 341040320032 is 230023040143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 341040319985 and 341040320012.

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, 880593 + ... + 1207279.

It is an arithmetic number, because the mean of its divisors is an integer number (7872364080).

Almost surely, 2341040320032 is an apocalyptic number.

341040320032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341040320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377873475840).

341040320032 is an abundant number, since it is smaller than the sum of its proper divisors (414706631648).

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

341040320032 is a wasteful number, since it uses less digits than its factorization.

341040320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326834 (or 326826 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 341040320032 its reverse (230023040143), we get a palindrome (571063360175).

The spelling of 341040320032 in words is "three hundred forty-one billion, forty million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 101 136 152 202 272 304 323 404 544 608 646 808 1292 1616 1717 1919 2584 3232 3434 3838 5168 6868 7676 10336 13736 15352 27472 30704 32623 54944 61408 65246 130492 260984 326687 521968 653374 1043936 1306748 2613496 5226992 5553679 6207053 10453984 11107358 12414106 22214716 24828212 32995387 44429432 49656424 65990774 88858864 99312848 105519901 131981548 177717728 198625696 211039802 263963096 422079604 527926192 560921579 626912353 844159208 1055852384 1121843158 1253824706 1688318416 2243686316 2507649412 3376636832 4487372632 5015298824 8974745264 10030597648 10657510001 17949490528 20061195296 21315020002 42630040004 85260080008 170520160016 341040320032