Search a number
-
+
344253352404 = 2231373263114941
BaseRepresentation
bin1010000001001110001…
…10010100100111010100
31012220120121102020212010
411000213012110213110
521120012324234104
6422051532024220
733604630133433
oct5004706244724
91186517366763
10344253352404
11122aa7051a15
1256875902070
132660314a130
141293a57311a
158e4c7b3489
hex50271949d4

344253352404 has 96 divisors (see below), whose sum is σ = 880238709504. Its totient is φ = 104074951680.

The previous prime is 344253352393. The next prime is 344253352459. The reversal of 344253352404 is 404253352443.

It is a super-2 number, since 2×3442533524042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2937574 + ... + 3052514.

It is an arithmetic number, because the mean of its divisors is an integer number (9169153224).

Almost surely, 2344253352404 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 344253352404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440119354752).

344253352404 is an abundant number, since it is smaller than the sum of its proper divisors (535985357100).

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

344253352404 is a wasteful number, since it uses less digits than its factorization.

344253352404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115297 (or 115295 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 39.

Adding to 344253352404 its sum of digits (39), we get a palindrome (344253352443).

The spelling of 344253352404 in words is "three hundred forty-four billion, two hundred fifty-three million, three hundred fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 263 292 438 526 789 876 949 1052 1578 1898 2847 3156 3419 3796 5694 6838 10257 11388 13676 19199 20514 38398 41028 57597 76796 114941 115194 229882 230388 249587 344823 459764 499174 689646 748761 998348 1379292 1494233 1497522 2988466 2995044 4482699 5976932 8390693 8965398 16781386 17930796 25172079 30229483 33562772 50344158 60458966 90688449 100688316 109079009 120917932 181376898 218158018 327237027 362753796 392983279 436316036 654474054 785966558 1178949837 1308948108 1571933116 2206752259 2357899674 4413504518 4715799348 6620256777 8827009036 13240513554 26481027108 28687779367 57375558734 86063338101 114751117468 172126676202 344253352404