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300431313 = 327132341389
BaseRepresentation
bin10001111010000…
…011011111010001
3202221022111021200
4101322003133101
51103402300223
645451141413
710305424020
oct2172033721
9687274250
10300431313
11144649546
1284744869
134a31c210
142bc868b7
151b596a43
hex11e837d1

300431313 has 96 divisors (see below), whose sum is σ = 572382720. Its totient is φ = 147502080.

The previous prime is 300431311. The next prime is 300431321. The reversal of 300431313 is 313134003.

It is not a de Polignac number, because 300431313 - 21 = 300431311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (300431311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772123 + ... + 772511.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2300431313 is an apocalyptic number.

It is an amenable number.

300431313 is a deficient number, since it is larger than the sum of its proper divisors (271951407).

300431313 is a wasteful number, since it uses less digits than its factorization.

300431313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 300431313 is about 17332.9545375276. The cubic root of 300431313 is about 669.7536132732.

Adding to 300431313 its reverse (313134003), we get a palindrome (613565316).

The spelling of 300431313 in words is "three hundred million, four hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 23 39 41 63 69 91 117 123 161 207 273 287 299 369 389 483 533 819 861 897 943 1167 1449 1599 2093 2583 2691 2723 2829 3501 3731 4797 5057 6279 6601 8169 8487 8947 11193 12259 15171 15949 18837 19803 24507 26841 33579 35399 36777 45513 47847 59409 62629 80523 85813 106197 110331 111643 116311 143541 187887 207337 257439 318591 334929 348933 366827 563661 622011 772317 814177 1004787 1046799 1100481 1451359 1866033 2442531 2567789 3301443 4354077 4768751 7327593 7703367 13062231 14306253 23110101 33381257 42918759 100143771 300431313