Search a number
-
+
3485812360 = 235318293391
BaseRepresentation
bin1100111111000101…
…0100011010001000
322222221011121121111
43033301110122020
524114331443420
61333521020104
7152244626152
oct31761243210
98887147544
103485812360
111529717468
12813484634
1343723c984
14250d47ad2
1515605845a
hexcfc54688

3485812360 has 64 divisors (see below), whose sum is σ = 8108236800. Its totient is φ = 1347321600.

The previous prime is 3485812321. The next prime is 3485812367. The reversal of 3485812360 is 632185843.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3485812367) 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, 1026265 + ... + 1029655.

It is an arithmetic number, because the mean of its divisors is an integer number (126691200).

Almost surely, 23485812360 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 3485812360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054118400).

3485812360 is an abundant number, since it is smaller than the sum of its proper divisors (4622424440).

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

3485812360 is a wasteful number, since it uses less digits than its factorization.

3485812360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 3485812360 is about 59040.7686264330. The cubic root of 3485812360 is about 1516.2401823561.

The spelling of 3485812360 in words is "three billion, four hundred eighty-five million, eight hundred twelve thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 829 1240 1658 3316 3391 4145 6632 6782 8290 13564 16580 16955 25699 27128 33160 33910 51398 67820 102796 105121 128495 135640 205592 210242 256990 420484 513980 525605 840968 1027960 1051210 2102420 2811139 4204840 5622278 11244556 14055695 22489112 28111390 56222780 87145309 112445560 174290618 348581236 435726545 697162472 871453090 1742906180 3485812360