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303214120 = 235111016823
BaseRepresentation
bin10010000100101…
…010111000101000
3210010112212120121
4102010222320220
51110110322440
650030533024
710341164116
oct2204527050
9703485517
10303214120
1114617a290
1285667174
134aa84a51
142c3acab6
151b94634a
hex1212ae28

303214120 has 64 divisors (see below), whose sum is σ = 751731840. Its totient is φ = 109152000.

The previous prime is 303214117. The next prime is 303214127. The reversal of 303214120 is 21412303.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 303214094 and 303214103.

It is not an unprimeable number, because it can be changed into a prime (303214127) 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 15 ways as a sum of consecutive naturals, for example, 41029 + ... + 47851.

It is an arithmetic number, because the mean of its divisors is an integer number (11745810).

Almost surely, 2303214120 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 303214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375865920).

303214120 is an abundant number, since it is smaller than the sum of its proper divisors (448517720).

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

303214120 is a wasteful number, since it uses less digits than its factorization.

303214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 303214120 is about 17413.0445356348. The cubic root of 303214120 is about 671.8151714384.

Adding to 303214120 its reverse (21412303), we get a palindrome (324626423).

The spelling of 303214120 in words is "three hundred three million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 6823 8888 11110 13646 22220 27292 34115 44440 54584 68230 75053 136460 150106 272920 300212 375265 600424 689123 750530 1378246 1501060 2756492 3002120 3445615 5512984 6891230 7580353 13782460 15160706 27564920 30321412 37901765 60642824 75803530 151607060 303214120