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343034002431 = 3361339207127
BaseRepresentation
bin1001111110111100110…
…10110111101111111111
31012210102121222212011000
410333132122313233333
521110013201034211
6421330533101343
733532462624311
oct4773632675777
91183377885130
10343034002431
1112253082a26a
1256595487853
132646a63c383
14128626477b1
158dca704656
hex4fde6b7bff

343034002431 has 16 divisors (see below), whose sum is σ = 508209260800. Its totient is φ = 228684502584.

The previous prime is 343034002391. The next prime is 343034002469. The reversal of 343034002431 is 134200430343.

It is not a de Polignac number, because 343034002431 - 217 = 343033871359 is a prime.

It is a super-3 number, since 3×3430340024313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343034002395 and 343034002404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343034002231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552590 + ... + 1759716.

It is an arithmetic number, because the mean of its divisors is an integer number (31763078800).

Almost surely, 2343034002431 is an apocalyptic number.

343034002431 is a deficient number, since it is larger than the sum of its proper divisors (165175258369).

343034002431 is a wasteful number, since it uses less digits than its factorization.

343034002431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268475 (or 268469 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 343034002431 its reverse (134200430343), we get a palindrome (477234432774).

The spelling of 343034002431 in words is "three hundred forty-three billion, thirty-four million, two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 61339 184017 207127 552051 621381 1656153 1864143 5592429 12704963053 38114889159 114344667477 343034002431