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343374411005 = 51761173382801
BaseRepresentation
bin1001111111100101011…
…01011011010011111101
31012211022100112101220222
410333302231123103331
521111212322123010
6421424413151125
733544065223163
oct4776255332375
91184270471828
10343374411005
111226959a326a
125666b48b4a5
13264c3017972
1412895939233
158dea546355
hex4ff2b5b4fd

343374411005 has 32 divisors (see below), whose sum is σ = 446004141408. Its totient is φ = 252831744000.

The previous prime is 343374410983. The next prime is 343374411007. The reversal of 343374411005 is 500114473343.

It can be written as a sum of positive squares in 16 ways, for example, as 18116352409 + 325258058596 = 134597^2 + 570314^2 .

It is not a de Polignac number, because 343374411005 - 28 = 343374410749 is a prime.

It is a super-2 number, since 2×3433744110052 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343374411007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705605 + ... + 1088405.

It is an arithmetic number, because the mean of its divisors is an integer number (13937629419).

Almost surely, 2343374411005 is an apocalyptic number.

It is an amenable number.

343374411005 is a deficient number, since it is larger than the sum of its proper divisors (102629730403).

343374411005 is a wasteful number, since it uses less digits than its factorization.

343374411005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383057.

The product of its (nonzero) digits is 60480, while the sum is 35.

Adding to 343374411005 its reverse (500114473343), we get a palindrome (843488884348).

The spelling of 343374411005 in words is "three hundred forty-three billion, three hundred seventy-four million, four hundred eleven thousand, five".

Divisors: 1 5 17 61 85 173 305 865 1037 2941 5185 10553 14705 52765 179401 382801 897005 1914005 6507617 23350861 32538085 66224573 116754305 331122865 396964637 1125817741 1984823185 4039698953 5629088705 20198494765 68674882201 343374411005