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308628540 = 22325111753173
BaseRepresentation
bin10010011001010…
…100110000111100
3210111201221202200
4102121110300330
51113002103130
650342551500
710435204443
oct2231246074
9714657680
10308628540
11149238210
1287438590
134bc2c34c
142cdbbd5a
151c165760
hex12654c3c

308628540 has 288 divisors, whose sum is σ = 1108126656. Its totient is φ = 68689920.

The previous prime is 308628539. The next prime is 308628563. The reversal of 308628540 is 45826803.

308628540 is a `hidden beast` number, since 30 + 86 + 2 + 8 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 308628495 and 308628504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1783894 + ... + 1784066.

It is an arithmetic number, because the mean of its divisors is an integer number (3847662).

Almost surely, 2308628540 is an apocalyptic number.

308628540 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 308628540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554063328).

308628540 is an abundant number, since it is smaller than the sum of its proper divisors (799498116).

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

308628540 is a wasteful number, since it uses less digits than its factorization.

308628540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 308628540 is about 17567.8268434089. The cubic root of 308628540 is about 675.7904156368.

It can be divided in two parts, 3086 and 28540, that added together give a triangular number (31626 = T251).

The spelling of 308628540 in words is "three hundred eight million, six hundred twenty-eight thousand, five hundred forty".