Search a number
-
+
344211101432 = 231147839710337
BaseRepresentation
bin1010000001001001001…
…01001001011011111000
31012220110122220200102022
411000210211021123320
521114421020221212
6422043422254012
733603605041652
oct5004445113370
91186418820368
10344211101432
11122a85214160
1256863727308
13265c7475b63
1412934ad56d2
158e48c19772
hex50249496f8

344211101432 has 128 divisors (see below), whose sum is σ = 735284874240. Its totient is φ = 149711585280.

The previous prime is 344211101393. The next prime is 344211101473. The reversal of 344211101432 is 234101112443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33293768 + ... + 33304104.

It is an arithmetic number, because the mean of its divisors is an integer number (5744413080).

Almost surely, 2344211101432 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 344211101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367642437120).

344211101432 is an abundant number, since it is smaller than the sum of its proper divisors (391073772808).

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

344211101432 is a wasteful number, since it uses less digits than its factorization.

344211101432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10581 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 344211101432 its reverse (234101112443), we get a palindrome (578312213875).

The spelling of 344211101432 in words is "three hundred forty-four billion, two hundred eleven million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 47 83 88 94 97 166 188 194 332 376 388 517 664 776 913 1034 1067 1826 2068 2134 3652 3901 4136 4268 4559 7304 7802 8051 8536 9118 10337 15604 16102 18236 20674 31208 32204 36472 41348 42911 50149 64408 82696 85822 88561 100298 113707 171644 177122 200596 227414 343288 354244 378397 401192 454828 485839 708488 756794 857971 909656 971678 1002689 1513588 1715942 1943356 2005378 3027176 3431884 3886712 4010756 4162367 5344229 6863768 8021512 8324734 9437681 10688458 11029579 16649468 18875362 21376916 22059158 33298936 37750724 40324637 42753832 44118316 47126383 75501448 80649274 83223187 88236632 94252766 161298548 166446374 188505532 322597096 332892748 377011064 443571007 518390213 665785496 887142014 915455057 1036780426 1774284028 1830910114 2073560852 3548568056 3661820228 3911489789 4147121704 7323640456 7822979578 15645959156 31291918312 43026387679 86052775358 172105550716 344211101432