Search a number
-
+
344114340030 = 232529571293031
BaseRepresentation
bin1010000000111101101…
…00000010000010111110
31012220012220211200201200
411000132310002002332
521114221232340110
6422030044320330
733601321425516
oct5003664020276
91186186750650
10344114340030
11122a3563495a
12568372430a6
13265b03c74a6
1412925d08846
158e404a46c0
hex501ed020be

344114340030 has 48 divisors (see below), whose sum is σ = 895000545504. Its totient is φ = 91732720320.

The previous prime is 344114340001. The next prime is 344114340043. The reversal of 344114340030 is 30043411443.

It is a junction number, because it is equal to n+sod(n) for n = 344114339976 and 344114340003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380386 + ... + 912645.

It is an arithmetic number, because the mean of its divisors is an integer number (18645844698).

Almost surely, 2344114340030 is an apocalyptic number.

344114340030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344114340030 is an abundant number, since it is smaller than the sum of its proper divisors (550886205474).

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

344114340030 is a wasteful number, since it uses less digits than its factorization.

344114340030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296001 (or 1295998 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 344114340030 its reverse (30043411443), we get a palindrome (374157751473).

The spelling of 344114340030 in words is "three hundred forty-four billion, one hundred fourteen million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2957 5914 8871 14785 17742 26613 29570 44355 53226 88710 133065 266130 1293031 2586062 3879093 6465155 7758186 11637279 12930310 19395465 23274558 38790930 58186395 116372790 3823492667 7646985334 11470478001 19117463335 22940956002 34411434003 38234926670 57352390005 68822868006 114704780010 172057170015 344114340030