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345230880 = 25353123201
BaseRepresentation
bin10100100100111…
…100111000100000
3220001121112201220
4110210330320200
51201334342010
654131255040
711361262011
oct2444747040
9801545656
10345230880
11167968085
129774a480
13566a6537
1433bc9008
1520495970
hex1493ce20

345230880 has 96 divisors (see below), whose sum is σ = 1122605568. Its totient is φ = 89088000.

The previous prime is 345230867. The next prime is 345230909. The reversal of 345230880 is 88032543.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3280 + ... + 26480.

It is an arithmetic number, because the mean of its divisors is an integer number (11693808).

Almost surely, 2345230880 is an apocalyptic number.

345230880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561302784).

345230880 is an abundant number, since it is smaller than the sum of its proper divisors (777374688).

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

345230880 is a wasteful number, since it uses less digits than its factorization.

345230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23250 (or 23242 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 345230880 is about 18580.3896622218. The cubic root of 345230880 is about 701.5143270990.

The spelling of 345230880 in words is "three hundred forty-five million, two hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 23201 46402 69603 92804 116005 139206 185608 232010 278412 348015 371216 464020 556824 696030 719231 742432 928040 1113648 1392060 1438462 1856080 2157693 2227296 2784120 2876924 3596155 3712160 4315386 5568240 5753848 7192310 8630772 10788465 11136480 11507696 14384620 17261544 21576930 23015392 28769240 34523088 43153860 57538480 69046176 86307720 115076960 172615440 345230880