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34346400445 = 576124676521
BaseRepresentation
bin11111111111001101…
…000111101010111101
310021122122210220220101
4133333031013222331
51030320134303240
623440054321101
72324064405160
oct377715075275
9107578726811
1034346400445
1113625714015
1267a6659191
1333149ac496
14193b7adad7
15d604c639a
hex7ff347abd

34346400445 has 32 divisors (see below), whose sum is σ = 47902576896. Its totient is φ = 23152780800.

The previous prime is 34346400433. The next prime is 34346400469. The reversal of 34346400445 is 54400464343.

It is not a de Polignac number, because 34346400445 - 211 = 34346398397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5263785 + ... + 5270305.

It is an arithmetic number, because the mean of its divisors is an integer number (1496955528).

Almost surely, 234346400445 is an apocalyptic number.

34346400445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34346400445 is a deficient number, since it is larger than the sum of its proper divisors (13556176451).

34346400445 is a wasteful number, since it uses less digits than its factorization.

34346400445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061.

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 34346400445 its reverse (54400464343), we get a palindrome (88746864788).

The spelling of 34346400445 in words is "thirty-four billion, three hundred forty-six million, four hundred thousand, four hundred forty-five".

Divisors: 1 5 7 35 61 305 427 2135 2467 6521 12335 17269 32605 45647 86345 150487 228235 397781 752435 1053409 1988905 2784467 5267045 13922335 16087307 80436535 112611149 563055745 981325727 4906628635 6869280089 34346400445