Search a number
-
+
343400324013030 = 235172375197205981
BaseRepresentation
bin100111000010100100001111…
…0010101000001101111100110
31200000212202021000101210221010
41032011020132111001233212
5330002232330421404110
63214203533033003050
7132221566104003264
oct11605103625015746
91600782230353833
10343400324013030
119a466294528429
1232621349853486
131197c685cc549b
1460b2943031434
1529a796cd6c020
hex138521e541be6

343400324013030 has 192 divisors, whose sum is σ = 899331932907072. Its totient is φ = 83840833658880.

The previous prime is 343400324013029. The next prime is 343400324013077. The reversal of 343400324013030 is 30310423004343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1667042640 + ... + 1667248620.

It is an arithmetic number, because the mean of its divisors is an integer number (4684020483891).

Almost surely, 2343400324013030 is an apocalyptic number.

343400324013030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343400324013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449665966453536).

343400324013030 is an abundant number, since it is smaller than the sum of its proper divisors (555931608894042).

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

343400324013030 is a wasteful number, since it uses less digits than its factorization.

343400324013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211259 (or 211242 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 343400324013030 its reverse (30310423004343), we get a palindrome (373710747017373).

The spelling of 343400324013030 in words is "three hundred forty-three trillion, four hundred billion, three hundred twenty-four million, thirteen thousand, thirty".