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304493056 = 297253229
BaseRepresentation
bin10010001001100…
…011001000000000
3210012221211221121
4102021203020000
51110422234211
650114202024
710355101600
oct2211431000
9705854847
10304493056
1114697315a
1285b83314
134b111c0a
142c622c00
151baea271
hex12263200

304493056 has 120 divisors (see below), whose sum is σ = 724222620. Its totient is φ = 127475712.

The previous prime is 304493039. The next prime is 304493087. The reversal of 304493056 is 650394403.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 263737600 + 40755456 = 16240^2 + 6384^2 .

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, 1329550 + ... + 1329778.

Almost surely, 2304493056 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 304493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362111310).

304493056 is an abundant number, since it is smaller than the sum of its proper divisors (419729564).

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

304493056 is an equidigital number, since it uses as much as digits as its factorization.

304493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 304493056 is about 17449.7293961826. The cubic root of 304493056 is about 672.7584030219.

It can be divided in two parts, 3044 and 93056, that added together give a square (96100 = 3102).

The spelling of 304493056 in words is "three hundred four million, four hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 229 256 371 392 424 448 458 512 742 784 848 896 916 1484 1568 1603 1696 1792 1832 2597 2968 3136 3206 3392 3584 3664 5194 5936 6272 6412 6784 7328 10388 11221 11872 12137 12544 12824 13568 14656 20776 22442 23744 24274 25088 25648 27136 29312 41552 44884 47488 48548 51296 58624 83104 84959 89768 94976 97096 102592 117248 166208 169918 179536 189952 194192 205184 332416 339836 359072 388384 410368 594713 664832 679672 718144 776768 820736 1189426 1329664 1359344 1436288 1553536 2378852 2718688 2872576 3107072 4757704 5437376 5745152 6214144 9515408 10874752 19030816 21749504 38061632 43499008 76123264 152246528 304493056