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305428100 = 225219115991
BaseRepresentation
bin10010001101000…
…111011010000100
3210021201100120212
4102031013122010
51111142144400
650150214552
710366044635
oct2215073204
9707640525
10305428100
1114745171a
1286354458
134b37b6b3
142c7c788c
151bc32335
hex12347684

305428100 has 36 divisors (see below), whose sum is σ = 666290688. Its totient is φ = 121524000.

The previous prime is 305428099. The next prime is 305428121. The reversal of 305428100 is 1824503.

305428100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3054281002 = 186572648539220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11105 + ... + 27095.

Almost surely, 2305428100 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 305428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333145344).

305428100 is an abundant number, since it is smaller than the sum of its proper divisors (360862588).

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

305428100 is a wasteful number, since it uses less digits than its factorization.

305428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16196 (or 16189 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 305428100 is about 17476.5013661202. The cubic root of 305428100 is about 673.4463397777.

The spelling of 305428100 in words is "three hundred five million, four hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 9550 15991 19100 31982 63964 79955 159910 319820 399775 799550 1599100 3054281 6108562 12217124 15271405 30542810 61085620 76357025 152714050 305428100