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345230310144 = 28311313928619
BaseRepresentation
bin1010000011000010101…
…01000111101100000000
31020000002200201211221010
411001201111013230000
521124012424411034
6422332511400520
733641062134636
oct5014125075400
91200080654833
10345230310144
11123458567805
1256aa8b23140
132672a67a235
14129d0203356
158ea84423e9
hex5061547b00

345230310144 has 144 divisors (see below), whose sum is σ = 933648508800. Its totient is φ = 113233870848.

The previous prime is 345230310143. The next prime is 345230310223. The reversal of 345230310144 is 441013032543.

It is not an unprimeable number, because it can be changed into a prime (345230310143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12048667 + ... + 12077285.

It is an arithmetic number, because the mean of its divisors is an integer number (6483670200).

Almost surely, 2345230310144 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 345230310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466824254400).

345230310144 is an abundant number, since it is smaller than the sum of its proper divisors (588418198656).

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

345230310144 is a wasteful number, since it uses less digits than its factorization.

345230310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28890 (or 28876 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 345230310144 its reverse (441013032543), we get a palindrome (786243342687).

The spelling of 345230310144 in words is "three hundred forty-five billion, two hundred thirty million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 139 192 226 256 278 339 384 417 452 556 678 768 834 904 1112 1356 1668 1808 2224 2712 3336 3616 4448 5424 6672 7232 8896 10848 13344 14464 15707 17792 21696 26688 28619 28928 31414 35584 43392 47121 53376 57238 62828 85857 86784 94242 106752 114476 125656 171714 188484 228952 251312 343428 376968 457904 502624 686856 753936 915808 1005248 1373712 1507872 1831616 2010496 2747424 3015744 3233947 3663232 3978041 4020992 5494848 6031488 6467894 7326464 7956082 9701841 10989696 11934123 12062976 12935788 15912164 19403682 21979392 23868246 25871576 31824328 38807364 47736492 51743152 63648656 77614728 95472984 103486304 127297312 155229456 190945968 206972608 254594624 310458912 381891936 413945216 449518633 509189248 620917824 763783872 827890432 899037266 1018378496 1241835648 1348555899 1527567744 1798074532 2483671296 2697111798 3055135488 3596149064 5394223596 7192298128 10788447192 14384596256 21576894384 28769192512 43153788768 57538385024 86307577536 115076770048 172615155072 345230310144