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414242352 = 24324170163
BaseRepresentation
bin11000101100001…
…101011000110000
31001212110200200100
4120230031120300
51322021223402
6105034352400
713160000436
oct3054153060
91055420610
10414242352
111a2913457
12b688b700
1367a8a124
143d030d56
152657871c
hex18b0d630

414242352 has 60 divisors (see below), whose sum is σ = 1187595864. Its totient is φ = 134711040.

The previous prime is 414242321. The next prime is 414242357. The reversal of 414242352 is 253242414.

414242352 is a `hidden beast` number, since 4 + 1 + 424 + 235 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (414242357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29178 + ... + 40985.

Almost surely, 2414242352 is an apocalyptic number.

It is an amenable number.

414242352 is an abundant number, since it is smaller than the sum of its proper divisors (773353512).

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

414242352 is a wasteful number, since it uses less digits than its factorization.

414242352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70218 (or 70209 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 414242352 is about 20352.9445535529. The cubic root of 414242352 is about 745.4493944951.

Adding to 414242352 its reverse (253242414), we get a palindrome (667484766).

The spelling of 414242352 in words is "four hundred fourteen million, two hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 70163 140326 210489 280652 420978 561304 631467 841956 1122608 1262934 1683912 2525868 2876683 3367824 5051736 5753366 8630049 10103472 11506732 17260098 23013464 25890147 34520196 46026928 51780294 69040392 103560588 138080784 207121176 414242352