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306098268 = 223713127817
BaseRepresentation
bin10010001111101…
…011000001011100
3210022222101212220
4102033223001130
51111330121033
650212425340
710404535530
oct2217530134
9708871786
10306098268
1114786a183
1286618250
134b554748
142c91dbc0
151bd15bb3
hex123eb05c

306098268 has 48 divisors (see below), whose sum is σ = 822522624. Its totient is φ = 86785920.

The previous prime is 306098239. The next prime is 306098279. The reversal of 306098268 is 862890603.

It is a super-2 number, since 2×3060982682 = 187392299345199648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2905 + ... + 24912.

It is an arithmetic number, because the mean of its divisors is an integer number (17135888).

Almost surely, 2306098268 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 306098268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411261312).

306098268 is an abundant number, since it is smaller than the sum of its proper divisors (516424356).

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

306098268 is a wasteful number, since it uses less digits than its factorization.

306098268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27962 (or 27960 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 306098268 is about 17495.6642628967. The cubic root of 306098268 is about 673.9385368966.

The spelling of 306098268 in words is "three hundred six million, ninety-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 27817 55634 83451 111268 166902 194719 333804 389438 584157 778876 1168314 2336628 3644027 7288054 10932081 14576108 21864162 25508189 43728324 51016378 76524567 102032756 153049134 306098268