Search a number
-
+
341435105004 = 2237109276713477
BaseRepresentation
bin1001111011111110001…
…11100011111011101100
31012122022012101110012210
410331333013203323230
521043224341330004
6420504135130420
733445036335630
oct4757707437354
91178265343183
10341435105004
11121890240a34
1256209b13a10
1326274301416
141275015cdc0
158d35172089
hex4f7f1e3eec

341435105004 has 96 divisors (see below), whose sum is σ = 919247042560. Its totient is φ = 96615804672.

The previous prime is 341435105003. The next prime is 341435105009. The reversal of 341435105004 is 400501534143.

It is not an unprimeable number, because it can be changed into a prime (341435105003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25327914 + ... + 25341390.

Almost surely, 2341435105004 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 341435105004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459623521280).

341435105004 is an abundant number, since it is smaller than the sum of its proper divisors (577811937556).

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

341435105004 is a wasteful number, since it uses less digits than its factorization.

341435105004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16367 (or 16365 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 341435105004 its reverse (400501534143), we get a palindrome (741936639147).

The spelling of 341435105004 in words is "three hundred forty-one billion, four hundred thirty-five million, one hundred five thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 1308 1526 2289 2767 3052 4578 5534 8301 9156 11068 13477 16602 19369 26954 33204 38738 40431 53908 58107 77476 80862 94339 116214 161724 188678 232428 283017 301603 377356 566034 603206 904809 1132068 1206412 1468993 1809618 2111221 2937986 3619236 4222442 4406979 5875972 6333663 8444884 8813958 10282951 12667326 17627916 20565902 25334652 30848853 37290859 41131804 61697706 74581718 111872577 123395412 149163436 223745154 261036013 447490308 522072026 783108039 1044144052 1566216078 3132432156 4064703631 8129407262 12194110893 16258814524 24388221786 28452925417 48776443572 56905850834 85358776251 113811701668 170717552502 341435105004