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344545443 = 321121737503
BaseRepresentation
bin10100100010010…
…101100010100011
3220000022201111100
4110202111202203
51201200423233
654104445443
711352405444
oct2442254243
9800281440
10344545443
1116753a100
1297479883
13564c6558
1433a8b2cb
15203ac813
hex148958a3

344545443 has 72 divisors (see below), whose sum is σ = 596048544. Its totient is φ = 190840320.

The previous prime is 344545387. The next prime is 344545447.

344545443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344545443 - 26 = 344545379 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 344545398 and 344545407.

It is not an unprimeable number, because it can be changed into a prime (344545447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 684730 + ... + 685232.

It is an arithmetic number, because the mean of its divisors is an integer number (8278452).

Almost surely, 2344545443 is an apocalyptic number.

344545443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344545443 is a deficient number, since it is larger than the sum of its proper divisors (251503101).

344545443 is a wasteful number, since it uses less digits than its factorization.

344545443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 571 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 344545443 is about 18561.9353247446. The cubic root of 344545443 is about 701.0497467415.

The spelling of 344545443 in words is "three hundred forty-four million, five hundred forty-five thousand, four hundred forty-three".

Divisors: 1 3 9 11 17 33 37 51 99 111 121 153 187 333 363 407 503 561 629 1089 1221 1509 1683 1887 2057 3663 4477 4527 5533 5661 6171 6919 8551 13431 16599 18513 18611 20757 25653 40293 49797 55833 60863 62271 76109 76959 94061 167499 182589 204721 228327 282183 316387 547767 614163 684981 846549 949161 1034671 1842489 2251931 2847483 3104013 3480257 6755793 9312039 10440771 20267379 31322313 38282827 114848481 344545443