Search a number
-
+
3384933958 = 273159163811
BaseRepresentation
bin1100100111000001…
…1111111001000110
322201220100110110101
43021300133321012
523413020341313
61315514514314
7146611315060
oct31160377106
98656313411
103384933958
111487785a8a
127a573599a
1341c37c403
142417a8730
1514c27d5dd
hexc9c1fe46

3384933958 has 64 divisors (see below), whose sum is σ = 6136381440. Its totient is φ = 1369936800.

The previous prime is 3384933953. The next prime is 3384934009. The reversal of 3384933958 is 8593394833.

It is a happy number.

It is a super-2 number, since 2×33849339582 = 22915555800043091528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3384933899 and 3384933908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384933953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4173373 + ... + 4174183.

It is an arithmetic number, because the mean of its divisors is an integer number (95880960).

Almost surely, 23384933958 is an apocalyptic number.

3384933958 is a deficient number, since it is larger than the sum of its proper divisors (2751447482).

3384933958 is a wasteful number, since it uses less digits than its factorization.

3384933958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073.

The product of its digits is 8398080, while the sum is 55.

The square root of 3384933958 is about 58180.1852695572. The cubic root of 3384933958 is about 1501.4702559090.

The spelling of 3384933958 in words is "three billion, three hundred eighty-four million, nine hundred thirty-three thousand, nine hundred fifty-eight".

Divisors: 1 2 7 14 31 59 62 118 163 217 326 413 434 811 826 1141 1622 1829 2282 3658 5053 5677 9617 10106 11354 12803 19234 25141 25606 35371 47849 50282 67319 70742 95698 132193 134638 175987 264386 298127 334943 351974 596254 669886 925351 1483319 1850702 2086889 2966638 4097983 4173778 7799387 8195966 10383233 15598774 20766466 28685881 54595709 57371762 109191418 241780997 483561994 1692466979 3384933958