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305241312 = 2534767651
BaseRepresentation
bin10010001100011…
…001110011100000
3210021100212100210
4102030121303200
51111120210222
650142214120
710364336235
oct2214316340
9707325323
10305241312
11147334352
1286284340
134b31467c
142c77978c
151bbe6d0c
hex12319ce0

305241312 has 48 divisors (see below), whose sum is σ = 818318592. Its totient is φ = 99580800.

The previous prime is 305241301. The next prime is 305241317. The reversal of 305241312 is 213142503.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305241317) 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, 29314 + ... + 38337.

It is an arithmetic number, because the mean of its divisors is an integer number (17048304).

Almost surely, 2305241312 is an apocalyptic number.

305241312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

305241312 is an abundant number, since it is smaller than the sum of its proper divisors (513077280).

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

305241312 is a wasteful number, since it uses less digits than its factorization.

305241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67711 (or 67703 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 305241312 is about 17471.1565730492. The cubic root of 305241312 is about 673.3090272135.

Adding to 305241312 its reverse (213142503), we get a palindrome (518383815).

The spelling of 305241312 in words is "three hundred five million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 67651 135302 202953 270604 405906 541208 811812 1082416 1623624 2164832 3179597 3247248 6359194 6494496 9538791 12718388 19077582 25436776 38155164 50873552 76310328 101747104 152620656 305241312