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3485660304 = 2437233671229
BaseRepresentation
bin1100111111000010…
…1111010010010000
322222220212220000210
43033300233102100
524114312112204
61333513444120
7152243423640
oct31760572220
98886786023
103485660304
1115296231a5
12813410640
134371b86b9
14250d08520
15156028389
hexcfc2f490

3485660304 has 160 divisors (see below), whose sum is σ = 10776453120. Its totient is φ = 949234176.

The previous prime is 3485660303. The next prime is 3485660309. The reversal of 3485660304 is 4030665843.

3485660304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3485660303) 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, 2835562 + ... + 2836790.

It is an arithmetic number, because the mean of its divisors is an integer number (67352832).

Almost surely, 23485660304 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 3485660304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388226560).

3485660304 is an abundant number, since it is smaller than the sum of its proper divisors (7290792816).

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

3485660304 is a wasteful number, since it uses less digits than its factorization.

3485660304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3485660304 is about 59039.4808920268. The cubic root of 3485660304 is about 1516.2181351979.

The spelling of 3485660304 in words is "three billion, four hundred eighty-five million, six hundred sixty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 367 368 483 552 644 734 966 1101 1104 1229 1288 1468 1932 2202 2458 2569 2576 2936 3687 3864 4404 4916 5138 5872 7374 7707 7728 8441 8603 8808 9832 10276 14748 15414 16882 17206 17616 19664 20552 25323 25809 28267 29496 30828 33764 34412 41104 50646 51618 56534 58992 59087 61656 67528 68824 84801 101292 103236 113068 118174 123312 135056 137648 169602 177261 197869 202584 206472 226136 236348 339204 354522 395738 405168 412944 451043 452272 472696 593607 678408 709044 791476 902086 945392 1187214 1353129 1356816 1418088 1582952 1804172 2374428 2706258 2836176 3157301 3165904 3608344 4748856 5412516 6314602 7216688 9471903 9497712 10373989 10825032 12629204 18943806 20747978 21650064 25258408 31121967 37887612 41495956 50516816 62243934 72617923 75775224 82991912 124487868 145235846 151550448 165983824 217853769 248975736 290471692 435707538 497951472 580943384 871415076 1161886768 1742830152 3485660304