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345460248 = 23337228479
BaseRepresentation
bin10100100101110…
…100111000011000
3220002001012101000
4110211310320120
51201414211443
654140225000
711363235510
oct2445647030
9802035330
10345460248
11168004441
129783b160
1356756a63
1433c48840
15204dd8d3
hex14974e18

345460248 has 64 divisors (see below), whose sum is σ = 1096704000. Its totient is φ = 98702496.

The previous prime is 345460243. The next prime is 345460277. The reversal of 345460248 is 842064543.

345460248 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 602 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345460243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112728 + ... + 115751.

It is an arithmetic number, because the mean of its divisors is an integer number (17136000).

Almost surely, 2345460248 is an apocalyptic number.

It is an amenable number.

345460248 is an abundant number, since it is smaller than the sum of its proper divisors (751243752).

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

345460248 is a wasteful number, since it uses less digits than its factorization.

345460248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228501 (or 228491 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 345460248 is about 18586.5609513971. The cubic root of 345460248 is about 701.6696524442.

The spelling of 345460248 in words is "three hundred forty-five million, four hundred sixty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 228479 456958 685437 913916 1370874 1599353 1827832 2056311 2741748 3198706 4112622 4798059 5483496 6168933 6397412 8225244 9596118 12337866 12794824 14394177 16450488 19192236 24675732 28788354 38384472 43182531 49351464 57576708 86365062 115153416 172730124 345460248