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307430352 = 243217911927
BaseRepresentation
bin10010010100110…
…000001111010000
3210102111002011100
4102110300033100
51112200232402
650301144400
710422054255
oct2224601720
9712432140
10307430352
11148599a79
1286b5b100
134b8ccb68
142cb8942c
151beca71c
hex125303d0

307430352 has 60 divisors (see below), whose sum is σ = 865257120. Its totient is φ = 101895744.

The previous prime is 307430311. The next prime is 307430411. The reversal of 307430352 is 253034703.

307430352 is a `hidden beast` number, since 307 + 4 + 3 + 0 + 352 = 666.

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 11 ways as a sum of consecutive naturals, for example, 19813 + ... + 31739.

It is an arithmetic number, because the mean of its divisors is an integer number (14420952).

Almost surely, 2307430352 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 307430352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432628560).

307430352 is an abundant number, since it is smaller than the sum of its proper divisors (557826768).

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

307430352 is a wasteful number, since it uses less digits than its factorization.

307430352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120 (or 12111 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 307430352 is about 17533.6919101483. The cubic root of 307430352 is about 674.9147414949.

The spelling of 307430352 in words is "three hundred seven million, four hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 3222 4296 6444 8592 11927 12888 23854 25776 35781 47708 71562 95416 107343 143124 190832 214686 286248 429372 572496 858744 1717488 2134933 4269866 6404799 8539732 12809598 17079464 19214397 25619196 34158928 38428794 51238392 76857588 102476784 153715176 307430352