Search a number
-
+
3356974460 = 2257295771433
BaseRepresentation
bin1100100000010111…
…0101110101111100
322122221201222020102
43020011311311330
523333341140320
61313035340232
7146121545360
oct31005656574
98587658212
103356974460
111472a19664
127982b1678
13416640128
1423bbab2a0
15149aa9175
hexc8175d7c

3356974460 has 96 divisors (see below), whose sum is σ = 8354828160. Its totient is φ = 1108574208.

The previous prime is 3356974447. The next prime is 3356974463. The reversal of 3356974460 is 644796533.

It is a super-2 number, since 2×33569744602 = 22538555050184583200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3356974463) 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, 2341904 + ... + 2343336.

It is an arithmetic number, because the mean of its divisors is an integer number (87029460).

Almost surely, 23356974460 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 3356974460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177414080).

3356974460 is an abundant number, since it is smaller than the sum of its proper divisors (4997853700).

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

3356974460 is a wasteful number, since it uses less digits than its factorization.

3356974460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 47.

The square root of 3356974460 is about 57939.4033452192. The cubic root of 3356974460 is about 1497.3247812692.

The spelling of 3356974460 in words is "three billion, three hundred fifty-six million, nine hundred seventy-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 577 580 812 1015 1154 1433 2030 2308 2866 2885 4039 4060 5732 5770 7165 8078 10031 11540 14330 16156 16733 20062 20195 28660 33466 40124 40390 41557 50155 66932 80780 83114 83665 100310 117131 166228 167330 200620 207785 234262 290899 334660 415570 468524 581798 585655 826841 831140 1163596 1171310 1454495 1653682 2342620 2908990 3307364 4134205 5787887 5817980 8268410 11575774 16536820 23151548 23978389 28939435 47956778 57878870 95913556 115757740 119891945 167848723 239783890 335697446 479567780 671394892 839243615 1678487230 3356974460