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300663828 = 223219439567
BaseRepresentation
bin10001111010111…
…100010000010100
3202221202022020100
4101322330100110
51103432220303
645500134100
710310412633
oct2172742024
9687668210
10300663828
11144798203
1284837330
134a3a0cba
142bd0751a
151b5e08a3
hex11ebc414

300663828 has 36 divisors (see below), whose sum is σ = 800013760. Its totient is φ = 94946256.

The previous prime is 300663821. The next prime is 300663829. The reversal of 300663828 is 828366003.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3006638282 = 180797474935227168, which contains 22 as substring.

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 = 300663792 and 300663801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300663821) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 219100 + ... + 220467.

Almost surely, 2300663828 is an apocalyptic number.

300663828 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

300663828 is an abundant number, since it is smaller than the sum of its proper divisors (499349932).

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

300663828 is a wasteful number, since it uses less digits than its factorization.

300663828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439596 (or 439591 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 300663828 is about 17339.6605503107. The cubic root of 300663828 is about 669.9263511531.

It can be divided in two parts, 300 and 663828, that added together give a triangular number (664128 = T1152).

The spelling of 300663828 in words is "three hundred million, six hundred sixty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 439567 879134 1318701 1758268 2637402 3956103 5274804 7912206 8351773 15824412 16703546 25055319 33407092 50110638 75165957 100221276 150331914 300663828