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34122324444 = 22313354761667
BaseRepresentation
bin11111110001110110…
…010101100111011100
310021002001011200102020
4133301312111213130
51024340303340234
623401531500140
72315403654315
oct376166254734
9107061150366
1034122324444
111352018743a
1267435b7650
1332aa445730
141919b2160c
15d4a9b3549
hex7f1d959dc

34122324444 has 48 divisors (see below), whose sum is σ = 85768841088. Its totient is φ = 10496046528.

The previous prime is 34122324427. The next prime is 34122324527. The reversal of 34122324444 is 44442322143.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522499 + ... + 584165.

It is an arithmetic number, because the mean of its divisors is an integer number (1786850856).

Almost surely, 234122324444 is an apocalyptic number.

It is an amenable number.

34122324444 is an abundant number, since it is smaller than the sum of its proper divisors (51646516644).

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

34122324444 is a wasteful number, since it uses less digits than its factorization.

34122324444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65234 (or 65232 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

Adding to 34122324444 its reverse (44442322143), we get a palindrome (78564646587).

The spelling of 34122324444 in words is "thirty-four billion, one hundred twenty-two million, three hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 3547 7094 10641 14188 21282 42564 46111 61667 92222 123334 138333 184444 185001 246668 276666 370002 553332 740004 801671 1603342 2405013 3206684 4810026 9620052 218732849 437465698 656198547 874931396 1312397094 2624794188 2843527037 5687054074 8530581111 11374108148 17061162222 34122324444