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345063888 = 2435136827
BaseRepresentation
bin10100100100010…
…100000111010000
3220001022001200000
4110210110013100
51201314021023
654123530000
711356665111
oct2444240720
9801261600
10345063888
11167863674
1297689900
1356648520
1433b84208
1520461243
hex149141d0

345063888 has 120 divisors (see below), whose sum is σ = 1078660128. Its totient is φ = 106157952.

The previous prime is 345063853. The next prime is 345063911. The reversal of 345063888 is 888360543.

345063888 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 638 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47131 + ... + 53957.

Almost surely, 2345063888 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 345063888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539330064).

345063888 is an abundant number, since it is smaller than the sum of its proper divisors (733596240).

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

345063888 is a wasteful number, since it uses less digits than its factorization.

345063888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 345063888 is about 18575.8953485424. The cubic root of 345063888 is about 701.4011987736.

The spelling of 345063888 in words is "three hundred forty-five million, sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 6827 8424 12636 13654 16848 20481 25272 27308 40962 50544 54616 61443 81924 88751 109232 122886 163848 177502 184329 245772 266253 327696 355004 368658 491544 532506 552987 710008 737316 798759 983088 1065012 1105974 1420016 1474632 1597518 1658961 2130024 2211948 2396277 2949264 3195036 3317922 4260048 4423896 4792554 6390072 6635844 7188831 8847792 9585108 12780144 13271688 14377662 19170216 21566493 26543376 28755324 38340432 43132986 57510648 86265972 115021296 172531944 345063888