Search a number
-
+
3385447380 = 22335731167173
BaseRepresentation
bin1100100111001001…
…1101001111010100
322201221022112202000
43021302131033110
523413133304010
61315533515300
7146615553660
oct31162351724
98657275660
103385447380
111487aa67a7
127a5942b30
1341c4cc003
1424189d8a0
1514c3307c0
hexc9c9d3d4

3385447380 has 384 divisors, whose sum is σ = 12572098560. Its totient is φ = 740067840.

The previous prime is 3385447309. The next prime is 3385447391. The reversal of 3385447380 is 837445833.

3385447380 is a `hidden beast` number, since 3 + 38 + 544 + 73 + 8 + 0 = 666.

It is a super-2 number, since 2×33854473802 = 22922507925497728800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 19568974 + ... + 19569146.

It is an arithmetic number, because the mean of its divisors is an integer number (32739840).

Almost surely, 23385447380 is an apocalyptic number.

3385447380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385447380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286049280).

3385447380 is an abundant number, since it is smaller than the sum of its proper divisors (9186651180).

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

3385447380 is a wasteful number, since it uses less digits than its factorization.

3385447380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3385447380 is about 58184.5974464033. The cubic root of 3385447380 is about 1501.5461657002.

The spelling of 3385447380 in words is "three billion, three hundred eighty-five million, four hundred forty-seven thousand, three hundred eighty".