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3384045808 = 2411133147711
BaseRepresentation
bin1100100110110100…
…0111000011110000
322201211200100010221
43021231013003300
523412303431213
61315443502424
7146600625523
oct31155070360
98654610127
103384045808
111487229780
127a5387a14
1341c12b090
14241616bba
1514c15538d
hexc9b470f0

3384045808 has 80 divisors (see below), whose sum is σ = 7951491072. Its totient is φ = 1374048000.

The previous prime is 3384045779. The next prime is 3384045809. The reversal of 3384045808 is 8085404833.

It is a super-2 number, since 2×33840458082 = 22903532061284745728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384045809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47073 + ... + 94783.

Almost surely, 23384045808 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 3384045808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975745536).

3384045808 is an abundant number, since it is smaller than the sum of its proper divisors (4567445264).

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

3384045808 is a wasteful number, since it uses less digits than its factorization.

3384045808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47774 (or 47768 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 3384045808 is about 58172.5520155339. The cubic root of 3384045808 is about 1501.3389242028.

The spelling of 3384045808 in words is "three billion, three hundred eighty-four million, forty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1364 1612 2288 2728 3224 4433 5456 6448 8866 17732 35464 47711 70928 95422 190844 381688 524821 620243 763376 1049642 1240486 1479041 2099284 2480972 2958082 4198568 4961944 5916164 6822673 8397136 9923888 11832328 13645346 16269451 19227533 23664656 27290692 32538902 38455066 54581384 65077804 76910132 109162768 130155608 153820264 211502863 260311216 307640528 423005726 846011452 1692022904 3384045808