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345381168 = 243113121101
BaseRepresentation
bin10100100101100…
…001100100110000
3220001220011220010
4110211201210300
51201404144133
654134414520
711362456116
oct2445414460
9801804803
10345381168
11167a5aa90
1297801440
1356729a72
1433c27ab6
15204c5263
hex14961930

345381168 has 80 divisors (see below), whose sum is σ = 1004792832. Its totient is φ = 101280000.

The previous prime is 345381161. The next prime is 345381173. The reversal of 345381168 is 861183543.

It is not an unprimeable number, because it can be changed into a prime (345381161) 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 15 ways as a sum of consecutive naturals, for example, 5818 + ... + 26918.

Almost surely, 2345381168 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 345381168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502396416).

345381168 is an abundant number, since it is smaller than the sum of its proper divisors (659411664).

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

345381168 is a wasteful number, since it uses less digits than its factorization.

345381168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21154 (or 21148 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 345381168 is about 18584.4334861195. The cubic root of 345381168 is about 701.6161081547.

The spelling of 345381168 in words is "three hundred forty-five million, three hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 21101 42202 63303 84404 126606 168808 232111 253212 337616 464222 506424 654131 696333 928444 1012848 1308262 1392666 1856888 1962393 2616524 2785332 3713776 3924786 5233048 5570664 7195441 7849572 10466096 11141328 14390882 15699144 21586323 28781764 31398288 43172646 57563528 86345292 115127056 172690584 345381168