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3404074842 = 2337231512593
BaseRepresentation
bin1100101011100110…
…0000111101011010
322210020100220211000
43022321200331122
523432420343332
61321441045430
7150233105310
oct31271407532
98706326730
103404074842
1114975698a3
127b0026876
1342332178c
1424414c0b0
1514dcaeb7c
hexcae60f5a

3404074842 has 128 divisors (see below), whose sum is σ = 9084395520. Its totient is φ = 923788800.

The previous prime is 3404074841. The next prime is 3404074859. The reversal of 3404074842 is 2484704043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3404074797 and 3404074806.

It is not an unprimeable number, because it can be changed into a prime (3404074841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1311498 + ... + 1314090.

It is an arithmetic number, because the mean of its divisors is an integer number (70971840).

Almost surely, 23404074842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404074842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542197760).

3404074842 is an abundant number, since it is smaller than the sum of its proper divisors (5680320678).

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

3404074842 is a wasteful number, since it uses less digits than its factorization.

3404074842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 3404074842 is about 58344.4499674134. The cubic root of 3404074842 is about 1504.2950738222.

Adding to 3404074842 its reverse (2484704043), we get a palindrome (5888778885).

The spelling of 3404074842 in words is "three billion, four hundred four million, seventy-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 151 161 189 207 302 322 378 414 453 483 621 906 966 1057 1242 1359 1449 2114 2593 2718 2898 3171 3473 4077 4347 5186 6342 6946 7779 8154 8694 9513 10419 15558 18151 19026 20838 23337 24311 28539 31257 36302 46674 48622 54453 57078 59639 62514 70011 72933 93771 108906 119278 140022 145866 163359 178917 187542 218799 326718 357834 391543 417473 437598 490077 536751 656397 783086 834946 980154 1073502 1174629 1252419 1312794 1610253 2349258 2504838 2740801 3220506 3523887 3757257 5481602 7047774 7514514 8222403 9005489 10571661 11271771 16444806 18010978 21143322 22543542 24667209 27016467 49334418 54032934 63038423 74001627 81049401 126076846 148003254 162098802 189115269 243148203 378230538 486296406 567345807 1134691614 1702037421 3404074842