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234303120 = 24325325421
BaseRepresentation
bin11011111011100…
…10111010010000
3121022212211110100
431331302322100
5434440144440
635125532400
75543354322
oct1575627220
9538784410
10234303120
11110292447
1266574100
1339707acc
1423191612
1515883230
hexdf72e90

234303120 has 60 divisors (see below), whose sum is σ = 786870396. Its totient is φ = 62480640.

The previous prime is 234303071. The next prime is 234303137. The reversal of 234303120 is 21303432.

It can be written as a sum of positive squares in 2 ways, for example, as 103795344 + 130507776 = 10188^2 + 11424^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 234303093 and 234303102.

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, 161991 + ... + 163430.

Almost surely, 2234303120 is an apocalyptic number.

234303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234303120 is an abundant number, since it is smaller than the sum of its proper divisors (552567276).

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

234303120 is a wasteful number, since it uses less digits than its factorization.

234303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325440 (or 325431 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 234303120 is about 15306.9631214033. The cubic root of 234303120 is about 616.4899823340.

Adding to 234303120 its reverse (21303432), we get a palindrome (255606552).

The spelling of 234303120 in words is "two hundred thirty-four million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 325421 650842 976263 1301684 1627105 1952526 2603368 2928789 3254210 3905052 4881315 5206736 5857578 6508420 7810104 9762630 11715156 13016840 14643945 15620208 19525260 23430312 26033680 29287890 39050520 46860624 58575780 78101040 117151560 234303120