Search a number
-
+
304631040 = 2835721619
BaseRepresentation
bin10010001010000…
…100110100000000
3210020012212020010
4102022010310000
51110441143130
650121144520
710356215100
oct2212046400
9706185203
10304631040
11146a5789a
128602b140
134b15c96c
142c65b200
151bb260b0
hex12284d00

304631040 has 216 divisors, whose sum is σ = 1132457760. Its totient is φ = 69586944.

The previous prime is 304631023. The next prime is 304631071. The reversal of 304631040 is 40136403.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 304630998 and 304631016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187351 + ... + 188969.

It is an arithmetic number, because the mean of its divisors is an integer number (5242860).

Almost surely, 2304631040 is an apocalyptic number.

304631040 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 304631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566228880).

304631040 is an abundant number, since it is smaller than the sum of its proper divisors (827826720).

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

304631040 is a wasteful number, since it uses less digits than its factorization.

304631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 304631040 is about 17453.6827059506. The cubic root of 304631040 is about 672.8600100207.

Adding to 304631040 its reverse (40136403), we get a palindrome (344767443).

The spelling of 304631040 in words is "three hundred four million, six hundred thirty-one thousand, forty".