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304241152 = 29472269
BaseRepresentation
bin10010001000100…
…101101000000000
3210012111001101211
4102020211220000
51110341204102
650104535504
710353002305
oct2210455000
9705431354
10304241152
11146810976
1285a81594
134b054367
142c5990ac
151ba9a7d7
hex12225a00

304241152 has 60 divisors (see below), whose sum is σ = 623405970. Its totient is φ = 148330496.

The previous prime is 304241149. The next prime is 304241153. The reversal of 304241152 is 251142403.

It can be written as a sum of positive squares in only one way, i.e., 299151616 + 5089536 = 17296^2 + 2256^2 .

It is not an unprimeable number, because it can be changed into a prime (304241153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1130874 + ... + 1131142.

Almost surely, 2304241152 is an apocalyptic number.

304241152 is a gapful number since it is divisible by the number (32) 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 304241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311702985).

304241152 is an abundant number, since it is smaller than the sum of its proper divisors (319164818).

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

304241152 is an frugal number, since it uses more digits than its factorization.

304241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 304241152 is about 17442.5099111338. The cubic root of 304241152 is about 672.5728297828.

Adding to 304241152 its reverse (251142403), we get a palindrome (555383555).

The spelling of 304241152 in words is "three hundred four million, two hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 269 376 512 538 752 1076 1504 2152 2209 3008 4304 4418 6016 8608 8836 12032 12643 17216 17672 24064 25286 34432 35344 50572 68864 70688 101144 137728 141376 202288 282752 404576 565504 594221 809152 1131008 1188442 1618304 2376884 3236608 4753768 6473216 9507536 19015072 38030144 76060288 152120576 304241152