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355112240 = 24573112039
BaseRepresentation
bin10101001010101…
…001010100110000
3220202012120102012
4111022221110300
51211402042430
655123142052
711541255440
oct2512512460
9822176365
10355112240
111724a709a
129ab14928
13587560b2
143523c120
1521298695
hex152a9530

355112240 has 80 divisors (see below), whose sum is σ = 947082240. Its totient is φ = 121301760.

The previous prime is 355112231. The next prime is 355112297. The reversal of 355112240 is 42211553.

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

It is a super-2 number, since 2×3551122402 = 252209405995635200, which contains 22 as substring.

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, 173141 + ... + 175179.

It is an arithmetic number, because the mean of its divisors is an integer number (11838528).

Almost surely, 2355112240 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 355112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473541120).

355112240 is an abundant number, since it is smaller than the sum of its proper divisors (591970000).

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

355112240 is a wasteful number, since it uses less digits than its factorization.

355112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 355112240 is about 18844.4219863598. The cubic root of 355112240 is about 708.1444904968.

Adding to 355112240 its reverse (42211553), we get a palindrome (397323793).

The spelling of 355112240 in words is "three hundred fifty-five million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 311 560 622 1244 1555 2039 2177 2488 3110 4078 4354 4976 6220 8156 8708 10195 10885 12440 14273 16312 17416 20390 21770 24880 28546 32624 34832 40780 43540 57092 71365 81560 87080 114184 142730 163120 174160 228368 285460 570920 634129 1141840 1268258 2536516 3170645 4438903 5073032 6341290 8877806 10146064 12682580 17755612 22194515 25365160 35511224 44389030 50730320 71022448 88778060 177556120 355112240