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345302056 = 231123137311
BaseRepresentation
bin10100100101001…
…110010000101000
3220001202011101001
4110211032100220
51201344131211
654133004344
711362006351
oct2445162050
9801664331
10345302056
11167a06600
12977836b4
13566cca58
1433c06d28
15204abac1
hex1494e428

345302056 has 96 divisors (see below), whose sum is σ = 756887040. Its totient is φ = 147312000.

The previous prime is 345302053. The next prime is 345302071. The reversal of 345302056 is 650203543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345302053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110141 + ... + 1110451.

It is an arithmetic number, because the mean of its divisors is an integer number (7884240).

Almost surely, 2345302056 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 345302056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378443520).

345302056 is an abundant number, since it is smaller than the sum of its proper divisors (411584984).

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

345302056 is a wasteful number, since it uses less digits than its factorization.

345302056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 345302056 is about 18582.3049162368. The cubic root of 345302056 is about 701.5625340195.

Adding to 345302056 its reverse (650203543), we get a palindrome (995505599).

The spelling of 345302056 in words is "three hundred forty-five million, three hundred two thousand, fifty-six".

Divisors: 1 2 4 8 11 22 31 37 44 62 74 88 121 124 148 242 248 296 311 341 407 484 622 682 814 968 1147 1244 1364 1628 2294 2488 2728 3256 3421 3751 4477 4588 6842 7502 8954 9176 9641 11507 12617 13684 15004 17908 19282 23014 25234 27368 30008 35816 37631 38564 46028 50468 75262 77128 92056 100936 106051 126577 138787 150524 212102 253154 277574 301048 356717 424204 506308 555148 713434 848408 1012616 1110296 1166561 1392347 1426868 2333122 2784694 2853736 3923887 4666244 5569388 7847774 9332488 11138776 15695548 31391096 43162757 86325514 172651028 345302056