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306900000 = 2532551131
BaseRepresentation
bin10010010010101…
…110110000100000
3210101111010122200
4102102232300200
51112031300000
650241533200
710414415121
oct2222566040
9711433580
10306900000
11148267570
1286944200
134b775644
142ca8c048
151be23500
hex124aec20

306900000 has 432 divisors, whose sum is σ = 1228421376. Its totient is φ = 72000000.

The previous prime is 306899981. The next prime is 306900007. The reversal of 306900000 is 9603.

It is a super-2 number, since 2×3069000002 = 188375220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (306900007) 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 71 ways as a sum of consecutive naturals, for example, 9899985 + ... + 9900015.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2306900000 is an apocalyptic number.

306900000 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 306900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614210688).

306900000 is an abundant number, since it is smaller than the sum of its proper divisors (921521376).

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

306900000 is a wasteful number, since it uses less digits than its factorization.

306900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 306900000 is about 17518.5615847877. The cubic root of 306900000 is about 674.5264167807.

Adding to 306900000 its reverse (9603), we get a palindrome (306909603).

The spelling of 306900000 in words is "three hundred six million, nine hundred thousand".