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345262224 = 243193471091
BaseRepresentation
bin10100100101000…
…100100010010000
3220001200010201210
4110211010202100
51201341342344
654132100120
711361452256
oct2445044220
9801603653
10345262224
1116798968a
1297764640
13566b7898
1433bd65d6
152049edb9
hex14944890

345262224 has 80 divisors (see below), whose sum is σ = 942439680. Its totient is φ = 108616320.

The previous prime is 345262219. The next prime is 345262237. The reversal of 345262224 is 422262543.

It is a junction number, because it is equal to n+sod(n) for n = 345262191 and 345262200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315919 + ... + 317009.

It is an arithmetic number, because the mean of its divisors is an integer number (11780496).

Almost surely, 2345262224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345262224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471219840).

345262224 is an abundant number, since it is smaller than the sum of its proper divisors (597177456).

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

345262224 is a wasteful number, since it uses less digits than its factorization.

345262224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 345262224 is about 18581.2331130095. The cubic root of 345262224 is about 701.5355569493.

The spelling of 345262224 in words is "three hundred forty-five million, two hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 347 456 694 912 1041 1091 1388 2082 2182 2776 3273 4164 4364 5552 6546 6593 8328 8728 13092 13186 16656 17456 19779 20729 26184 26372 39558 41458 52368 52744 62187 79116 82916 105488 124374 158232 165832 248748 316464 331664 378577 497496 757154 994992 1135731 1514308 2271462 3028616 4542924 6057232 7192963 9085848 14385926 18171696 21578889 28771852 43157778 57543704 86315556 115087408 172631112 345262224