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3314129424 = 243471977457
BaseRepresentation
bin1100010110001001…
…1001101000010000
322112222010012220020
43011202121220100
523241404120144
61304505143440
7145061430624
oct30542315020
98488105806
103314129424
111450815541
12785a8ab80
1340a7bb638
14236217184
15145e44419
hexc5899a10

3314129424 has 80 divisors (see below), whose sum is σ = 8789223168. Its totient is φ = 1075572736.

The previous prime is 3314129393. The next prime is 3314129437. The reversal of 3314129424 is 4249214133.

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, 440704 + ... + 448160.

Almost surely, 23314129424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314129424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394611584).

3314129424 is an abundant number, since it is smaller than the sum of its proper divisors (5475093744).

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

3314129424 is a wasteful number, since it uses less digits than its factorization.

3314129424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 7706 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3314129424 is about 57568.4759568985. The cubic root of 3314129424 is about 1490.9273724779.

The spelling of 3314129424 in words is "three billion, three hundred fourteen million, one hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 197 282 376 394 564 591 752 788 1128 1182 1576 2256 2364 3152 4728 7457 9259 9456 14914 18518 22371 27777 29828 37036 44742 55554 59656 74072 89484 111108 119312 148144 178968 222216 350479 357936 444432 700958 1051437 1401916 1469029 2102874 2803832 2938058 4205748 4407087 5607664 5876116 8411496 8814174 11752232 16822992 17628348 23504464 35256696 69044363 70513392 138088726 207133089 276177452 414266178 552354904 828532356 1104709808 1657064712 3314129424