Search a number
-
+
3395090608 = 247134156873
BaseRepresentation
bin1100101001011100…
…1111100010110000
322202121110110202121
43022113033202300
523423120344413
61320520324024
7150063536230
oct31227174260
98677413677
103395090608
111492492908
127a9013614
134214c7370
14242c8dcc0
1514d0d7b8d
hexca5cf8b0

3395090608 has 80 divisors (see below), whose sum is σ = 8293594176. Its totient is φ = 1310330880.

The previous prime is 3395090597. The next prime is 3395090627. The reversal of 3395090608 is 8060905933.

3395090608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31260 + ... + 88132.

Almost surely, 23395090608 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 3395090608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146797088).

3395090608 is an abundant number, since it is smaller than the sum of its proper divisors (4898503568).

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

3395090608 is a wasteful number, since it uses less digits than its factorization.

3395090608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56942 (or 56936 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 3395090608 is about 58267.4060517542. The cubic root of 3395090608 is about 1502.9704999074.

The spelling of 3395090608 in words is "three billion, three hundred ninety-five million, ninety thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 287 328 364 533 574 656 728 1066 1148 1456 2132 2296 3731 4264 4592 7462 8528 14924 29848 56873 59696 113746 227492 398111 454984 739349 796222 909968 1478698 1592444 2331793 2957396 3184888 4663586 5175443 5914792 6369776 9327172 10350886 11829584 16322551 18654344 20701772 30313309 32645102 37308688 41403544 60626618 65290204 82807088 121253236 130580408 212193163 242506472 261160816 424386326 485012944 848772652 1697545304 3395090608