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304034144 = 25291392357
BaseRepresentation
bin10010000111110…
…011000101100000
3210012002112102212
4102013303011200
51110313043034
650100301252
710351150631
oct2207630540
9705075385
10304034144
1114668a397
12859a1828
134acb107b
142c543888
151ba592ce
hex121f3160

304034144 has 48 divisors (see below), whose sum is σ = 623926800. Its totient is φ = 145657344.

The previous prime is 304034083. The next prime is 304034149. The reversal of 304034144 is 441430403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304034149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127814 + ... + 130170.

It is an arithmetic number, because the mean of its divisors is an integer number (12998475).

Almost surely, 2304034144 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 304034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311963400).

304034144 is an abundant number, since it is smaller than the sum of its proper divisors (319892656).

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

304034144 is a wasteful number, since it uses less digits than its factorization.

304034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 304034144 is about 17436.5748930230. The cubic root of 304034144 is about 672.4202539455.

Adding to 304034144 its reverse (441430403), we get a palindrome (745464547).

The spelling of 304034144 in words is "three hundred four million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 139 232 278 464 556 928 1112 2224 2357 4031 4448 4714 8062 9428 16124 18856 32248 37712 64496 68353 75424 128992 136706 273412 327623 546824 655246 1093648 1310492 2187296 2620984 5241968 9501067 10483936 19002134 38004268 76008536 152017072 304034144