Search a number
-
+
3382835190 = 235716108739
BaseRepresentation
bin1100100110100001…
…1111011111110110
322201202101211111020
43021220133133312
523412001211230
61315401522010
7146554424160
oct31150373766
98652354436
103382835190
111486582169
127a4aa3306
1341bac6037
142413bd930
1514beb6810
hexc9a1f7f6

3382835190 has 32 divisors (see below), whose sum is σ = 9278634240. Its totient is φ = 773219424.

The previous prime is 3382835177. The next prime is 3382835201. The reversal of 3382835190 is 915382833.

It is a super-2 number, since 2×33828351902 = 22887147845404672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

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, 8054160 + ... + 8054579.

It is an arithmetic number, because the mean of its divisors is an integer number (289957320).

Almost surely, 23382835190 is an apocalyptic number.

3382835190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3382835190 is an abundant number, since it is smaller than the sum of its proper divisors (5895799050).

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

3382835190 is a wasteful number, since it uses less digits than its factorization.

3382835190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16108756.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3382835190 is about 58162.1456791271. The cubic root of 3382835190 is about 1501.1598717893.

The spelling of 3382835190 in words is "three billion, three hundred eighty-two million, eight hundred thirty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 16108739 32217478 48326217 80543695 96652434 112761173 161087390 225522346 241631085 338283519 483262170 563805865 676567038 1127611730 1691417595 3382835190