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3675420288 = 273223313693
BaseRepresentation
bin1101101100010010…
…0111011010000000
3100111010221200210100
43123010213122000
530011401422123
61404413002400
7160036362021
oct33304473200
910433850710
103675420288
111616751731
12866a83400
134675c8b07
1426c1c2c48
15167a0d643
hexdb127680

3675420288 has 96 divisors (see below), whose sum is σ = 10622572740. Its totient is φ = 1219792896.

The previous prime is 3675420269. The next prime is 3675420317. The reversal of 3675420288 is 8820245763.

3675420288 is a `hidden beast` number, since 367 + 5 + 4 + 2 + 0 + 288 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3505587264 + 169833024 = 59208^2 + 13032^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 261570 + ... + 275262.

Almost surely, 23675420288 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 3675420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311286370).

3675420288 is an abundant number, since it is smaller than the sum of its proper divisors (6947152452).

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

3675420288 is a wasteful number, since it uses less digits than its factorization.

3675420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13946 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3675420288 is about 60625.2446428054. The cubic root of 3675420288 is about 1543.2478103005.

The spelling of 3675420288 in words is "three billion, six hundred seventy-five million, four hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 288 384 466 576 699 932 1152 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 13693 14912 16776 22368 27386 29824 33552 41079 44736 54772 67104 82158 89472 109544 123237 134208 164316 219088 246474 268416 328632 438176 492948 657264 876352 985896 1314528 1752704 1971792 2629056 3190469 3943584 5258112 6380938 7887168 9571407 12761876 15774336 19142814 25523752 28714221 38285628 51047504 57428442 76571256 102095008 114856884 153142512 204190016 229713768 306285024 408380032 459427536 612570048 918855072 1225140096 1837710144 3675420288