Search a number
-
+
314455300 = 225215720029
BaseRepresentation
bin10010101111100…
…011010100000100
3210220200222120121
4102233203110010
51121000032200
651111511324
710535553205
oct2257432404
9726628517
10314455300
11151557a15
1289388544
13501bc533
142da975ac
151c916e1a
hex12be3504

314455300 has 36 divisors (see below), whose sum is σ = 686748580. Its totient is φ = 124974720.

The previous prime is 314455277. The next prime is 314455303. The reversal of 314455300 is 3554413.

It can be written as a sum of positive squares in 6 ways, for example, as 41809156 + 272646144 = 6466^2 + 16512^2 .

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

It is not an unprimeable number, because it can be changed into a prime (314455303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5686 + ... + 25714.

Almost surely, 2314455300 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 314455300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343374290).

314455300 is an abundant number, since it is smaller than the sum of its proper divisors (372293280).

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

314455300 is a wasteful number, since it uses less digits than its factorization.

314455300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 20193 counting only the distinct ones).

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

The square root of 314455300 is about 17732.8875257246. The cubic root of 314455300 is about 680.0167960096.

The spelling of 314455300 in words is "three hundred fourteen million, four hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 20029 40058 80116 100145 200290 400580 500725 1001450 2002900 3144553 6289106 12578212 15722765 31445530 62891060 78613825 157227650 314455300