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305141232 = 24311577919
BaseRepresentation
bin10010001100000…
…001010111110000
3210021011210002010
4102030001113300
51111104004412
650140122520
710363441404
oct2214012760
9707153063
10305141232
11147276140
1286236440
134b2aac56
142c751104
151bbc733c
hex123015f0

305141232 has 40 divisors (see below), whose sum is σ = 859944960. Its totient is φ = 92466880.

The previous prime is 305141189. The next prime is 305141251. The reversal of 305141232 is 232141503.

It is a super-2 number, since 2×3051412322 = 186222342932955648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305141199 and 305141208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288432 + ... + 289487.

It is an arithmetic number, because the mean of its divisors is an integer number (21498624).

Almost surely, 2305141232 is an apocalyptic number.

It is an amenable number.

305141232 is an abundant number, since it is smaller than the sum of its proper divisors (554803728).

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

305141232 is a wasteful number, since it uses less digits than its factorization.

305141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577941 (or 577935 counting only the distinct ones).

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

The square root of 305141232 is about 17468.2921889920. The cubic root of 305141232 is about 673.2354328357.

Adding to 305141232 its reverse (232141503), we get a palindrome (537282735).

The spelling of 305141232 in words is "three hundred five million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 577919 1155838 1733757 2311676 3467514 4623352 6357109 6935028 9246704 12714218 13870056 19071327 25428436 27740112 38142654 50856872 76285308 101713744 152570616 305141232