Search a number
-
+
3021042360 = 233574187719
BaseRepresentation
bin1011010000010001…
…0111001010111000
321210112121212000210
42310010113022320
522141341323420
61215435231120
7134602302450
oct26404271270
97715555023
103021042360
111310332926
127038a84a0
13391b7123b
14209322d60
1512a34d9e0
hexb41172b8

3021042360 has 128 divisors (see below), whose sum is σ = 10610611200. Its totient is φ = 673674240.

The previous prime is 3021042331. The next prime is 3021042371. The reversal of 3021042360 is 632401203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9420 + ... + 78299.

It is an arithmetic number, because the mean of its divisors is an integer number (82895400).

Almost surely, 23021042360 is an apocalyptic number.

3021042360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3021042360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305305600).

3021042360 is an abundant number, since it is smaller than the sum of its proper divisors (7589568840).

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

3021042360 is a wasteful number, since it uses less digits than its factorization.

3021042360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87781 (or 87777 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3021042360 is about 54964.0096790618. The cubic root of 3021042360 is about 1445.6137541137.

Adding to 3021042360 its reverse (632401203), we get a palindrome (3653443563).

The spelling of 3021042360 in words is "three billion, twenty-one million, forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8610 11480 17220 34440 87719 175438 263157 350876 438595 526314 614033 701752 877190 1052628 1228066 1315785 1754380 1842099 2105256 2456132 2631570 3070165 3508760 3596479 3684198 4912264 5263140 6140330 7192958 7368396 9210495 10526280 10789437 12280660 14385916 14736792 17982395 18420990 21578874 24561320 25175353 28771832 35964790 36841980 43157748 50350706 53947185 71929580 73683960 75526059 86315496 100701412 107894370 125876765 143859160 151052118 201402824 215788740 251753530 302104236 377630295 431577480 503507060 604208472 755260590 1007014120 1510521180 3021042360