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345034224 = 243219235483
BaseRepresentation
bin10100100100001…
…100110111110000
3220001020112222100
4110210030313300
51201312043344
654123140400
711356512453
oct2444146760
9801215870
10345034224
11167843357
1297674700
1356637b82
1433b7749a
1520457569
hex1490cdf0

345034224 has 120 divisors (see below), whose sum is σ = 1060824960. Its totient is φ = 104201856.

The previous prime is 345034223. The next prime is 345034231. The reversal of 345034224 is 422430543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345034223) 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, 60187 + ... + 65669.

It is an arithmetic number, because the mean of its divisors is an integer number (8840208).

Almost surely, 2345034224 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 345034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530412480).

345034224 is an abundant number, since it is smaller than the sum of its proper divisors (715790736).

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

345034224 is a wasteful number, since it uses less digits than its factorization.

345034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 345034224 is about 18575.0968772709. The cubic root of 345034224 is about 701.3810991513.

Adding to 345034224 its reverse (422430543), we get a palindrome (767464767).

The spelling of 345034224 in words is "three hundred forty-five million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 46 48 57 69 72 76 92 114 138 144 152 171 184 207 228 276 304 342 368 414 437 456 552 684 828 874 912 1104 1311 1368 1656 1748 2622 2736 3312 3496 3933 5244 5483 6992 7866 10488 10966 15732 16449 20976 21932 31464 32898 43864 49347 62928 65796 87728 98694 104177 126109 131592 197388 208354 252218 263184 312531 378327 394776 416708 504436 625062 756654 789552 833416 937593 1008872 1134981 1250124 1513308 1666832 1875186 2017744 2269962 2396071 2500248 3026616 3750372 4539924 4792142 5000496 6053232 7188213 7500744 9079848 9584284 14376426 15001488 18159696 19168568 21564639 28752852 38337136 43129278 57505704 86258556 115011408 172517112 345034224