Search a number
-
+
3280207680 = 263251138961
BaseRepresentation
bin1100001110000011…
…1111111101000000
322110121021211000100
43003200333331000
523204213121210
61301254122400
7144200206461
oct30340777500
98417254010
103280207680
111433656642
12776650400
134037725b9
14231906d68
15142e935c0
hexc383ff40

3280207680 has 84 divisors (see below), whose sum is σ = 11282557572. Its totient is φ = 874721280.

The previous prime is 3280207673. The next prime is 3280207699. The reversal of 3280207680 is 867020823.

It is a happy number.

3280207680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 366799104 + 2913408576 = 19152^2 + 53976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566601 + ... + 572360.

Almost surely, 23280207680 is an apocalyptic number.

3280207680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3280207680 is an abundant number, since it is smaller than the sum of its proper divisors (8002349892).

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

3280207680 is a wasteful number, since it uses less digits than its factorization.

3280207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138984 (or 1138971 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3280207680 is about 57273.0973494537. The cubic root of 3280207680 is about 1485.8231262895.

The spelling of 3280207680 in words is "three billion, two hundred eighty million, two hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1138961 2277922 3416883 4555844 5694805 6833766 9111688 10250649 11389610 13667532 17084415 18223376 20501298 22779220 27335064 34168830 36446752 41002596 45558440 51253245 54670128 68337660 72893504 82005192 91116880 102506490 109340256 136675320 164010384 182233760 205012980 218680512 273350640 328020768 364467520 410025960 546701280 656041536 820051920 1093402560 1640103840 3280207680