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3469961808 = 2433591091249
BaseRepresentation
bin1100111011010011…
…0110101001010000
322221211100022202000
43032310312221100
524101302234213
61332153154000
7151663121505
oct31664665120
98854308660
103469961808
111520780735
1280a0bb900
13433b80151
1424cbbd4ac
15154976c73
hexced36a50

3469961808 has 160 divisors (see below), whose sum is σ = 10230000000. Its totient is φ = 1125715968.

The previous prime is 3469961801. The next prime is 3469961809. The reversal of 3469961808 is 8081699643.

3469961808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3469961801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2777568 + ... + 2778816.

It is an arithmetic number, because the mean of its divisors is an integer number (63937500).

Almost surely, 23469961808 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 3469961808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115000000).

3469961808 is an abundant number, since it is smaller than the sum of its proper divisors (6760038192).

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

3469961808 is a wasteful number, since it uses less digits than its factorization.

3469961808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3469961808 is about 58906.3817255822. The cubic root of 3469961808 is about 1513.9384937440.

It can be divided in two parts, 3469961 and 808, that added together give a square (3470769 = 18632).

The spelling of 3469961808 in words is "three billion, four hundred sixty-nine million, nine hundred sixty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 109 118 144 177 216 218 236 327 354 432 436 472 531 654 708 872 944 981 1062 1249 1308 1416 1593 1744 1962 2124 2498 2616 2832 2943 3186 3747 3924 4248 4996 5232 5886 6372 6431 7494 7848 8496 9992 11241 11772 12744 12862 14988 15696 19293 19984 22482 23544 25488 25724 29976 33723 38586 44964 47088 51448 57879 59952 67446 73691 77172 89928 102896 115758 134892 136141 147382 154344 173637 179856 221073 231516 269784 272282 294764 308688 347274 408423 442146 463032 539568 544564 589528 663219 694548 816846 884292 926064 1089128 1179056 1225269 1326438 1389096 1633692 1768584 1989657 2178256 2450538 2652876 2778192 3267384 3537168 3675807 3979314 4901076 5305752 6534768 7351614 7958628 8032319 9802152 10611504 14703228 15917256 16064638 19604304 24096957 29406456 31834512 32129276 48193914 58812912 64258552 72290871 96387828 128517104 144581742 192775656 216872613 289163484 385551312 433745226 578326968 867490452 1156653936 1734980904 3469961808