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3440342413 = 29532157269
BaseRepresentation
bin1100110100001111…
…0111010110001101
322212202121111120101
43031003313112031
524021211424123
61325214251101
7151153266544
oct31503672615
98782544511
103440342413
111505a901a2
128001b6a91
1342a9ac491
14248cad15b
15152075aad
hexcd0f758d

3440342413 has 24 divisors (see below), whose sum is σ = 3664067400. Its totient is φ = 3226239744.

The previous prime is 3440342371. The next prime is 3440342429. The reversal of 3440342413 is 3142430443.

It can be written as a sum of positive squares in 12 ways, for example, as 853399369 + 2586943044 = 29213^2 + 50862^2 .

It is a de Polignac number, because none of the positive numbers 2k-3440342413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440342443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12789243 + ... + 12789511.

It is an arithmetic number, because the mean of its divisors is an integer number (152669475).

Almost surely, 23440342413 is an apocalyptic number.

It is an amenable number.

3440342413 is a deficient number, since it is larger than the sum of its proper divisors (223724987).

3440342413 is a wasteful number, since it uses less digits than its factorization.

3440342413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3440342413 is about 58654.4321684219. The cubic root of 3440342413 is about 1509.6185480045.

Adding to 3440342413 its reverse (3142430443), we get a palindrome (6582772856).

The spelling of 3440342413 in words is "three billion, four hundred forty million, three hundred forty-two thousand, four hundred thirteen".

Divisors: 1 29 53 157 269 1537 2809 4553 7801 8321 14257 42233 81461 241309 413453 441013 755621 1224757 2238349 12789377 21913009 64912121 118632497 3440342413