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345037712 = 24177317377
BaseRepresentation
bin10100100100001…
…101101110010000
3220001020201202112
4110210031232100
51201312201322
654123204452
711356525565
oct2444155620
9801221675
10345037712
11167845a38
1297676728
1356639636
1433b7886c
15204585e2
hex1490db90

345037712 has 40 divisors (see below), whose sum is σ = 717572376. Its totient is φ = 160137216.

The previous prime is 345037711. The next prime is 345037747. The reversal of 345037712 is 217730543.

It can be written as a sum of positive squares in 4 ways, for example, as 31181056 + 313856656 = 5584^2 + 17716^2 .

It is not an unprimeable number, because it can be changed into a prime (345037711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11168 + ... + 28544.

Almost surely, 2345037712 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 345037712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358786188).

345037712 is an abundant number, since it is smaller than the sum of its proper divisors (372534664).

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

345037712 is a wasteful number, since it uses less digits than its factorization.

345037712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17475 (or 17469 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 345037712 is about 18575.1907661806. The cubic root of 345037712 is about 701.3834625971.

The spelling of 345037712 in words is "three hundred forty-five million, thirty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 584 1168 1241 2482 4964 9928 17377 19856 34754 69508 139016 278032 295409 590818 1181636 1268521 2363272 2537042 4726544 5074084 10148168 20296336 21564857 43129714 86259428 172518856 345037712