Search a number
-
+
3445605240 = 2335711372901
BaseRepresentation
bin1100110101011111…
…1100001101111000
322220010111212210220
43031113330031320
524024033331430
61325523140040
7151246106220
oct31527741570
98803455726
103445605240
111508a55240
12801b14620
1342bb02a8c
1424987d080
15152765110
hexcd5fc378

3445605240 has 128 divisors (see below), whose sum is σ = 12887493120. Its totient is φ = 715968000.

The previous prime is 3445605227. The next prime is 3445605257. The reversal of 3445605240 is 425065443.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177211 + ... + 195690.

It is an arithmetic number, because the mean of its divisors is an integer number (100683540).

Almost surely, 23445605240 is an apocalyptic number.

3445605240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3445605240 is an abundant number, since it is smaller than the sum of its proper divisors (9441887880).

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

3445605240 is a wasteful number, since it uses less digits than its factorization.

3445605240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372933 (or 372929 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 3445605240 is about 58699.2780194101. The cubic root of 3445605240 is about 1510.3879300942.

The spelling of 3445605240 in words is "three billion, four hundred forty-five million, six hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 372901 745802 1118703 1491604 1864505 2237406 2610307 2983208 3729010 4101911 4474812 5220614 5593515 7458020 7830921 8203822 8949624 10441228 11187030 12305733 13051535 14916040 15661842 16407644 20509555 20882456 22374060 24611466 26103070 28713377 31323684 32815288 39154605 41019110 44748120 49222932 52206140 57426754 61528665 62647368 78309210 82038220 86140131 98445864 104412280 114853508 123057330 143566885 156618420 164076440 172280262 229707016 246114660 287133770 313236840 344560524 430700655 492229320 574267540 689121048 861401310 1148535080 1722802620 3445605240