Search a number
-
+
3380055408 = 243237961933
BaseRepresentation
bin1100100101110111…
…1000110101110000
322201120011121100100
43021131320311300
523410243233113
61315222152400
7146521665642
oct31135706560
98646147310
103380055408
111484a53724
127a3b82700
1341b3619b2
14240c98892
1514bb17d73
hexc9778d70

3380055408 has 60 divisors (see below), whose sum is σ = 9484572760. Its totient is φ = 1123694208.

The previous prime is 3380055403. The next prime is 3380055433. The reversal of 3380055408 is 8045500833.

3380055408 is a `hidden beast` number, since 33 + 80 + 0 + 5 + 540 + 8 = 666.

It is a super-2 number, since 2×33800554082 = 22849549122300092928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380055401) 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 11 ways as a sum of consecutive naturals, for example, 23610 + ... + 85542.

Almost surely, 23380055408 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 3380055408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742286380).

3380055408 is an abundant number, since it is smaller than the sum of its proper divisors (6104517352).

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

3380055408 is a wasteful number, since it uses less digits than its factorization.

3380055408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62326 (or 62317 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3380055408 is about 58138.2439363282. The cubic root of 3380055408 is about 1500.7485756941.

The spelling of 3380055408 in words is "three billion, three hundred eighty million, fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 379 758 1137 1516 2274 3032 3411 4548 6064 6822 9096 13644 18192 27288 54576 61933 123866 185799 247732 371598 495464 557397 743196 990928 1114794 1486392 2229588 2972784 4459176 8918352 23472607 46945214 70417821 93890428 140835642 187780856 211253463 281671284 375561712 422506926 563342568 845013852 1126685136 1690027704 3380055408