Search a number
-
+
3564321040 = 2457231272179
BaseRepresentation
bin1101010001110011…
…0011100100010000
3100012101220021021101
43110130303210100
524244431233130
61345403434144
7154220141350
oct32434634420
910171807241
103564321040
111569a6a175
12835825954
1344a59a307
1425b542b60
1515cdb51ca
hexd4733910

3564321040 has 160 divisors (see below), whose sum is σ = 9965076480. Its totient is φ = 1159183872.

The previous prime is 3564321029. The next prime is 3564321049. The reversal of 3564321040 is 401234653.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3564321049) 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, 1634671 + ... + 1636849.

It is an arithmetic number, because the mean of its divisors is an integer number (62281728).

Almost surely, 23564321040 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 3564321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982538240).

3564321040 is an abundant number, since it is smaller than the sum of its proper divisors (6400755440).

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

3564321040 is a wasteful number, since it uses less digits than its factorization.

3564321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3564321040 is about 59701.9349770173. The cubic root of 3564321040 is about 1527.5388743128.

Adding to 3564321040 its reverse (401234653), we get a palindrome (3965555693).

The spelling of 3564321040 in words is "three billion, five hundred sixty-four million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 127 140 161 184 230 254 280 322 368 460 508 560 635 644 805 889 920 1016 1270 1288 1610 1778 1840 2032 2179 2540 2576 2921 3220 3556 4358 4445 5080 5842 6440 7112 8716 8890 10160 10895 11684 12880 14224 14605 15253 17432 17780 20447 21790 23368 29210 30506 34864 35560 40894 43580 46736 50117 58420 61012 71120 76265 81788 87160 100234 102235 116840 122024 152530 163576 174320 200468 204470 233680 244048 250585 276733 305060 327152 350819 400936 408940 501170 553466 610120 701638 801872 817880 1002340 1106932 1220240 1383665 1403276 1635760 1754095 1937131 2004680 2213864 2767330 2806552 3508190 3874262 4009360 4427728 5534660 5613104 6364859 7016380 7748524 9685655 11069320 12729718 14032760 15497048 19371310 22138640 25459436 28065520 30994096 31824295 38742620 44554013 50918872 63648590 77485240 89108026 101837744 127297180 154970480 178216052 222770065 254594360 356432104 445540130 509188720 712864208 891080260 1782160520 3564321040