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345113321 = 72192371227
BaseRepresentation
bin10100100100100…
…000001011101001
3220001101120110212
4110210200023221
51201322111241
654124550505
711360262200
oct2444401351
9801346425
10345113321
11167897823
12976b2435
1356664b87
1433b98237
1520470beb
hex149202e9

345113321 has 48 divisors (see below), whose sum is σ = 449141760. Its totient is φ = 263118240.

The previous prime is 345113299. The next prime is 345113333. The reversal of 345113321 is 123311543.

It is not a de Polignac number, because 345113321 - 226 = 278004457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345113341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520210 + ... + 1520436.

It is an arithmetic number, because the mean of its divisors is an integer number (9357120).

Almost surely, 2345113321 is an apocalyptic number.

It is an amenable number.

345113321 is a deficient number, since it is larger than the sum of its proper divisors (104028439).

345113321 is a wasteful number, since it uses less digits than its factorization.

345113321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 345113321 is about 18577.2258693272. The cubic root of 345113321 is about 701.4346908418.

Adding to 345113321 its reverse (123311543), we get a palindrome (468424864).

The spelling of 345113321 in words is "three hundred forty-five million, one hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 7 19 23 49 71 133 161 227 437 497 931 1127 1349 1589 1633 3059 3479 4313 5221 9443 11123 11431 16117 21413 30191 31027 36547 66101 80017 99199 112819 211337 217189 255829 306223 370691 694393 789733 1520323 2143561 2594837 4860751 7043129 15004927 18163859 49301903 345113321