Search a number
-
+
304460640 = 253351143149
BaseRepresentation
bin10010001001011…
…011001101100000
3210012220012111000
4102021123031200
51110420220030
650113352000
710354605231
oct2211331540
9705805430
10304460640
11146950870
1285b68600
134b100233
142c615088
151bae0860
hex1225b360

304460640 has 384 divisors, whose sum is σ = 1197504000. Its totient is φ = 71608320.

The previous prime is 304460627. The next prime is 304460659. The reversal of 304460640 is 46064403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2043286 + ... + 2043434.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2304460640 is an apocalyptic number.

304460640 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 304460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

304460640 is an abundant number, since it is smaller than the sum of its proper divisors (893043360).

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

304460640 is a wasteful number, since it uses less digits than its factorization.

304460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 304460640 is about 17448.8005318417. The cubic root of 304460640 is about 672.7345284650.

The spelling of 304460640 in words is "three hundred four million, four hundred sixty thousand, six hundred forty".