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304213120 = 275475333
BaseRepresentation
bin10010001000011…
…110110010000000
3210012102121221121
4102020132302000
51110334304440
650104202024
710352524501
oct2210366200
9705377847
10304213120
111467a1902
1285a69314
134b044683
142c58cba8
151ba9234a
hex1221ec80

304213120 has 32 divisors (see below), whose sum is σ = 727261020. Its totient is φ = 121684992.

The previous prime is 304213099. The next prime is 304213139. The reversal of 304213120 is 21312403.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 287370304 + 16842816 = 16952^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 304213094 and 304213103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237027 + ... + 238306.

Almost surely, 2304213120 is an apocalyptic number.

It is an amenable number.

304213120 is an abundant number, since it is smaller than the sum of its proper divisors (423047900).

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

304213120 is an equidigital number, since it uses as much as digits as its factorization.

304213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475352 (or 475340 counting only the distinct ones).

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

The square root of 304213120 is about 17441.7063385438. The cubic root of 304213120 is about 672.5521727695.

Adding to 304213120 its reverse (21312403), we get a palindrome (325525523).

The spelling of 304213120 in words is "three hundred four million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 475333 950666 1901332 2376665 3802664 4753330 7605328 9506660 15210656 19013320 30421312 38026640 60842624 76053280 152106560 304213120