Search a number
-
+
3455401300 = 22521317156353
BaseRepresentation
bin1100110111110101…
…0011110101010100
322220210221120110221
43031331103311110
524034040320200
61330513124124
7151425266161
oct31575236524
98823846427
103455401300
11151353615a
12805259644
13430b52870
1424acad068
1515354c91a
hexcdf53d54

3455401300 has 72 divisors (see below), whose sum is σ = 8550062136. Its totient is φ = 1200783360.

The previous prime is 3455401291. The next prime is 3455401309. The reversal of 3455401300 is 31045543.

It is an interprime number because it is at equal distance from previous prime (3455401291) and next prime (3455401309).

It can be written as a sum of positive squares in 12 ways, for example, as 2279871504 + 1175529796 = 47748^2 + 34286^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455401309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56077 + ... + 100276.

It is an arithmetic number, because the mean of its divisors is an integer number (118750863).

Almost surely, 23455401300 is an apocalyptic number.

It is an amenable number.

3455401300 is an abundant number, since it is smaller than the sum of its proper divisors (5094660836).

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

3455401300 is a wasteful number, since it uses less digits than its factorization.

3455401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156397 (or 156390 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 3455401300 is about 58782.6615593408. The cubic root of 3455401300 is about 1511.8179498860.

Adding to 3455401300 its reverse (31045543), we get a palindrome (3486446843).

The spelling of 3455401300 in words is "three billion, four hundred fifty-five million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 156353 312706 625412 781765 1563530 2032589 2658001 3127060 3908825 4065178 5316002 7817650 8130356 10162945 10632004 13290005 15635300 20325890 26580010 34554013 40651780 50814725 53160020 66450025 69108026 101629450 132900050 138216052 172770065 203258900 265800100 345540130 691080260 863850325 1727700650 3455401300