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345650536 = 237112291759
BaseRepresentation
bin10100100110100…
…011010101101000
3220002101212101201
4110212203111220
51201441304121
654144253544
711364660340
oct2446432550
9802355351
10345650536
11168124400
12979112b4
13567c255a
1433c97d20
1520529e91
hex149a3568

345650536 has 96 divisors (see below), whose sum is σ = 842688000. Its totient is φ = 129951360.

The previous prime is 345650491. The next prime is 345650537. The reversal of 345650536 is 635056543.

345650536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 345650495 and 345650504.

It is not an unprimeable number, because it can be changed into a prime (345650537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195625 + ... + 197383.

It is an arithmetic number, because the mean of its divisors is an integer number (8778000).

Almost surely, 2345650536 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 345650536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421344000).

345650536 is an abundant number, since it is smaller than the sum of its proper divisors (497037464).

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

345650536 is a wasteful number, since it uses less digits than its factorization.

345650536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

The square root of 345650536 is about 18591.6792141001. The cubic root of 345650536 is about 701.7984610967.

The spelling of 345650536 in words is "three hundred forty-five million, six hundred fifty thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 121 154 203 232 242 308 319 406 484 616 638 812 847 968 1276 1624 1694 1759 2233 2552 3388 3509 3518 4466 6776 7018 7036 8932 12313 14036 14072 17864 19349 24563 24626 28072 38698 49126 49252 51011 77396 98252 98504 102022 135443 154792 196504 204044 212839 270886 357077 408088 425678 541772 561121 714154 851356 1083544 1122242 1428308 1489873 1702712 2244484 2856616 2979746 3927847 4488968 5959492 6172331 7855694 11918984 12344662 15711388 24689324 31422776 43206317 49378648 86412634 172825268 345650536