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306225780 = 223572572837
BaseRepresentation
bin10010010000001…
…010001001110100
3210100012212210120
4102100022021310
51111343211110
650215251540
710405606350
oct2220121164
9710185716
10306225780
11147946a63
1286679bb0
134b59a7b3
142c954460
151bd3d870
hex1240a274

306225780 has 96 divisors (see below), whose sum is σ = 984082176. Its totient is φ = 69697536.

The previous prime is 306225779. The next prime is 306225817. The reversal of 306225780 is 87522603.

306225780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106522 + ... + 109358.

It is an arithmetic number, because the mean of its divisors is an integer number (10250856).

Almost surely, 2306225780 is an apocalyptic number.

306225780 is a gapful number since it is divisible by the number (30) 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 306225780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492041088).

306225780 is an abundant number, since it is smaller than the sum of its proper divisors (677856396).

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

306225780 is a wasteful number, since it uses less digits than its factorization.

306225780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 306225780 is about 17499.3079863176. The cubic root of 306225780 is about 674.0321052369.

The spelling of 306225780 in words is "three hundred six million, two hundred twenty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 257 420 514 771 1028 1285 1542 1799 2570 2837 3084 3598 3855 5140 5397 5674 7196 7710 8511 8995 10794 11348 14185 15420 17022 17990 19859 21588 26985 28370 34044 35980 39718 42555 53970 56740 59577 79436 85110 99295 107940 119154 170220 198590 238308 297885 397180 595770 729109 1191540 1458218 2187327 2916436 3645545 4374654 5103763 7291090 8749308 10207526 10936635 14582180 15311289 20415052 21873270 25518815 30622578 43746540 51037630 61245156 76556445 102075260 153112890 306225780