Search a number
-
+
3402956096 = 261710729231
BaseRepresentation
bin1100101011010100…
…1111110101000000
322210011021002011222
43022311033311000
523432124043341
61321401054212
7150220435541
oct31265176500
98704232158
103402956096
111496975311
127ab787368
1342301c4b7
14243d3a4c8
1514db3d44b
hexcad4fd40

3402956096 has 56 divisors (see below), whose sum is σ = 7217030016. Its totient is φ = 1586370560.

The previous prime is 3402956057. The next prime is 3402956143. The reversal of 3402956096 is 6906592043.

3402956096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34029560962 = 23160220382607122432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101801 + ... + 131031.

It is an arithmetic number, because the mean of its divisors is an integer number (128875536).

Almost surely, 23402956096 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 3402956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608515008).

3402956096 is an abundant number, since it is smaller than the sum of its proper divisors (3814073920).

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

3402956096 is a wasteful number, since it uses less digits than its factorization.

3402956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29367 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The square root of 3402956096 is about 58334.8617552146. The cubic root of 3402956096 is about 1504.1302607112.

The spelling of 3402956096 in words is "three billion, four hundred two million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 136 214 272 428 544 856 1088 1712 1819 3424 3638 6848 7276 14552 29104 29231 58208 58462 116416 116924 233848 467696 496927 935392 993854 1870784 1987708 3127717 3975416 6255434 7950832 12510868 15901664 25021736 31803328 50043472 53171189 100086944 106342378 200173888 212684756 425369512 850739024 1701478048 3402956096