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307626220 = 225111783991
BaseRepresentation
bin10010010101100…
…000000011101100
3210102212000211201
4102111200003230
51112223014340
650305255244
710423531306
oct2225400354
9712760751
10307626220
11148713150
1287034524
134b96b065
142cbda976
151c01879a
hex125600ec

307626220 has 96 divisors (see below), whose sum is σ = 755951616. Its totient is φ = 103910400.

The previous prime is 307626217. The next prime is 307626227. The reversal of 307626220 is 22626703.

307626220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (307626227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 309925 + ... + 310915.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2307626220 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 307626220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377975808).

307626220 is an abundant number, since it is smaller than the sum of its proper divisors (448325396).

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

307626220 is a wasteful number, since it uses less digits than its factorization.

307626220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 307626220 is about 17539.2764959105. The cubic root of 307626220 is about 675.0580434769.

The spelling of 307626220 in words is "three hundred seven million, six hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 83 85 110 166 170 187 220 332 340 374 415 748 830 913 935 991 1411 1660 1826 1870 1982 2822 3652 3740 3964 4565 4955 5644 7055 9130 9910 10901 14110 15521 16847 18260 19820 21802 28220 31042 33694 43604 54505 62084 67388 77605 82253 84235 109010 155210 164506 168470 185317 218020 310420 329012 336940 370634 411265 741268 822530 904783 926585 1398301 1645060 1809566 1853170 2796602 3619132 3706340 4523915 5593204 6991505 9047830 13983010 15381311 18095660 27966020 30762622 61525244 76906555 153813110 307626220