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345252240 = 24335159839
BaseRepresentation
bin10100100101000…
…010000110010000
3220001122122001000
4110211002012100
51201341032430
654131542000
711361411204
oct2445020620
9801578030
10345252240
11167982133
129775a900
13566b3188
1433bd2b04
152049be60
hex14942190

345252240 has 80 divisors (see below), whose sum is σ = 1189209600. Its totient is φ = 92066688.

The previous prime is 345252233. The next prime is 345252277. The reversal of 345252240 is 42252543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 77760 + ... + 82079.

It is an arithmetic number, because the mean of its divisors is an integer number (14865120).

Almost surely, 2345252240 is an apocalyptic number.

345252240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345252240 is an abundant number, since it is smaller than the sum of its proper divisors (843957360).

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

345252240 is a wasteful number, since it uses less digits than its factorization.

345252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159861 (or 159849 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 345252240 is about 18580.9644529018. The cubic root of 345252240 is about 701.5287947475.

The spelling of 345252240 in words is "three hundred forty-five million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 159839 319678 479517 639356 799195 959034 1278712 1438551 1598390 1918068 2397585 2557424 2877102 3196780 3836136 4315653 4795170 5754204 6393560 7192755 7672272 8631306 9590340 11508408 12787120 14385510 17262612 19180680 21578265 23016816 28771020 34525224 38361360 43156530 57542040 69050448 86313060 115084080 172626120 345252240