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3005355450 = 235231719103
BaseRepresentation
bin1011001100100010…
…0001010110111010
321202110002212122010
42303020201112322
522123332333300
61214115110350
7134322046146
oct26310412672
97673085563
103005355450
111302499039
126ba5a23b6
1338b83b046
142071dc226
15128ca0a50
hexb32215ba

3005355450 has 96 divisors (see below), whose sum is σ = 7802929152. Its totient is φ = 764568000.

The previous prime is 3005355443. The next prime is 3005355491. The reversal of 3005355450 is 545535003.

It is a super-2 number, since 2×30053554502 = 18064322761689405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325599 + ... + 334701.

It is an arithmetic number, because the mean of its divisors is an integer number (81280512).

Almost surely, 23005355450 is an apocalyptic number.

3005355450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005355450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901464576).

3005355450 is an abundant number, since it is smaller than the sum of its proper divisors (4797573702).

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

3005355450 is a wasteful number, since it uses less digits than its factorization.

3005355450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 3005355450 is about 54821.1222978881. The cubic root of 3005355450 is about 1443.1072707419.

The spelling of 3005355450 in words is "three billion, five million, three hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 71 75 93 142 150 155 186 213 310 355 426 465 710 775 930 1065 1550 1775 2130 2201 2325 3550 4402 4650 5325 6603 9103 10650 11005 13206 18206 22010 27309 33015 45515 54618 55025 66030 91030 110050 136545 165075 227575 273090 282193 330150 455150 564386 646313 682725 846579 1292626 1365450 1410965 1693158 1938939 2821930 3231565 3877878 4232895 6463130 7054825 8465790 9694695 14109650 16157825 19389390 20035703 21164475 32315650 40071406 42328950 48473475 60107109 96946950 100178515 120214218 200357030 300535545 500892575 601071090 1001785150 1502677725 3005355450