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305676030 = 235115571663
BaseRepresentation
bin10010001110000…
…011111011111110
3210022011221200110
4102032003323332
51111223113110
650155410450
710401126522
oct2216037376
9708157613
10305676030
11147600a20
1286453a26
134b4374ba
142c84dd82
151bc80a20
hex12383efe

305676030 has 64 divisors (see below), whose sum is σ = 802234368. Its totient is φ = 73925760.

The previous prime is 305676023. The next prime is 305676061. The reversal of 305676030 is 30676503.

305676030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182979 + ... + 184641.

It is an arithmetic number, because the mean of its divisors is an integer number (12534912).

Almost surely, 2305676030 is an apocalyptic number.

305676030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305676030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401117184).

305676030 is an abundant number, since it is smaller than the sum of its proper divisors (496558338).

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

305676030 is a wasteful number, since it uses less digits than its factorization.

305676030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241.

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 305676030 is about 17483.5931661658. The cubic root of 305676030 is about 673.6285129231.

The spelling of 305676030 in words is "three hundred five million, six hundred seventy-six thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 557 1114 1663 1671 2785 3326 3342 4989 5570 6127 8315 8355 9978 12254 16630 16710 18293 18381 24945 30635 36586 36762 49890 54879 61270 91465 91905 109758 182930 183810 274395 548790 926291 1852582 2778873 4631455 5557746 9262910 10189201 13894365 20378402 27788730 30567603 50946005 61135206 101892010 152838015 305676030