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303342240 = 25352572459
BaseRepresentation
bin10010000101001…
…010001010100000
3210010210101022210
4102011022022200
51110123422430
650033402120
710342236465
oct2205121240
9703711283
10303342240
11146257573
1285709340
134aacb166
142c40366c
151b96e2b0
hex1214a2a0

303342240 has 96 divisors (see below), whose sum is σ = 959636160. Its totient is φ = 80543744.

The previous prime is 303342227. The next prime is 303342241. The reversal of 303342240 is 42243303.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (303342241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122131 + ... + 124589.

It is an arithmetic number, because the mean of its divisors is an integer number (9996210).

Almost surely, 2303342240 is an apocalyptic number.

303342240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479818080).

303342240 is an abundant number, since it is smaller than the sum of its proper divisors (656293920).

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

303342240 is a wasteful number, since it uses less digits than its factorization.

303342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 303342240 is about 17416.7229983140. The cubic root of 303342240 is about 671.9097809721.

Adding to 303342240 its reverse (42243303), we get a palindrome (345585543).

The spelling of 303342240 in words is "three hundred three million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 257 480 514 771 1028 1285 1542 2056 2459 2570 3084 3855 4112 4918 5140 6168 7377 7710 8224 9836 10280 12295 12336 14754 15420 19672 20560 24590 24672 29508 30840 36885 39344 41120 49180 59016 61680 73770 78688 98360 118032 123360 147540 196720 236064 295080 393440 590160 631963 1180320 1263926 1895889 2527852 3159815 3791778 5055704 6319630 7583556 9479445 10111408 12639260 15167112 18958890 20222816 25278520 30334224 37917780 50557040 60668448 75835560 101114080 151671120 303342240