Search a number
-
+
3036968640 = 26345117167
BaseRepresentation
bin1011010100000100…
…0111011011000000
321211122120222210000
42311001013123000
522204430444030
61221204440000
7135154543656
oct26501073300
97748528700
103036968640
111319320542
127090a9000
13395259384
1420b4aadd6
1512b947860
hexb50476c0

3036968640 has 140 divisors (see below), whose sum is σ = 10803123936. Its totient is φ = 809851392.

The previous prime is 3036968609. The next prime is 3036968657. The reversal of 3036968640 is 468696303.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32664 + ... + 84503.

Almost surely, 23036968640 is an apocalyptic number.

3036968640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3036968640 is an abundant number, since it is smaller than the sum of its proper divisors (7766155296).

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

3036968640 is a wasteful number, since it uses less digits than its factorization.

3036968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117196 (or 117177 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3036968640 is about 55108.6984059685. The cubic root of 3036968640 is about 1448.1496238455.

The spelling of 3036968640 in words is "three billion, thirty-six million, nine hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 117167 234334 351501 468668 585835 703002 937336 1054503 1171670 1406004 1757505 1874672 2109006 2343340 2812008 3163509 3515010 3749344 4218012 4686680 5272515 5624016 6327018 7030020 7498688 8436024 9373360 9490527 10545030 11248032 12654036 14060040 15817545 16872048 18746720 18981054 21090060 22496064 25308072 28120080 31635090 33744096 37493440 37962108 42180120 47452635 50616144 56240160 63270180 67488192 75924216 84360240 94905270 101232288 112480320 126540360 151848432 168720480 189810540 202464576 253080720 303696864 337440960 379621080 506161440 607393728 759242160 1012322880 1518484320 3036968640