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3414520305 = 335719210009
BaseRepresentation
bin1100101110000101…
…0111000111110001
322210222000121022000
43023201113013301
523443104122210
61322453004213
7150420641460
oct31341270761
98728017260
103414520305
1114a2453709
127b3623669
1342553b021
142456aa9d7
1514eb74ac0
hexcb8571f1

3414520305 has 96 divisors (see below), whose sum is σ = 7322515200. Its totient is φ = 1478621952.

The previous prime is 3414520297. The next prime is 3414520313. The reversal of 3414520305 is 5030254143.

It is an interprime number because it is at equal distance from previous prime (3414520297) and next prime (3414520313).

It is not a de Polignac number, because 3414520305 - 23 = 3414520297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336141 + ... + 346149.

It is an arithmetic number, because the mean of its divisors is an integer number (76276200).

Almost surely, 23414520305 is an apocalyptic number.

3414520305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3414520305 is an abundant number, since it is smaller than the sum of its proper divisors (3907994895).

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

3414520305 is a wasteful number, since it uses less digits than its factorization.

3414520305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10068 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3414520305 is about 58433.8968835726. The cubic root of 3414520305 is about 1505.8321545930.

Adding to 3414520305 its reverse (5030254143), we get a palindrome (8444774448).

The spelling of 3414520305 in words is "three billion, four hundred fourteen million, five hundred twenty thousand, three hundred five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 361 399 513 665 855 945 1083 1197 1805 1995 2527 2565 3249 3591 5415 5985 7581 9747 10009 12635 16245 17955 22743 30027 37905 48735 50045 68229 70063 90081 113715 150135 190171 210189 270243 341145 350315 450405 570513 630567 950855 1050945 1331197 1351215 1711539 1891701 2852565 3152835 3613249 3993591 5134617 6655985 8557695 9458505 10839747 11980773 18066245 19967955 25292743 25673085 32519241 35942319 54198735 59903865 75878229 97557723 126463715 162596205 179711595 227634687 379391145 487788615 682904061 1138173435 3414520305