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403414242 = 237112163487
BaseRepresentation
bin11000000010111…
…001110011100010
31001010002120022020
4120002321303202
51311233223432
6104010322310
712665651550
oct3002716342
91033076266
10403414242
11197798100
12b3129396
136576866a
143b812bd0
152563a22c
hex180b9ce2

403414242 has 96 divisors (see below), whose sum is σ = 1021848576. Its totient is φ = 103926240.

The previous prime is 403414237. The next prime is 403414243. The reversal of 403414242 is 242414304.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (403414243) 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 47 ways as a sum of consecutive naturals, for example, 828123 + ... + 828609.

It is an arithmetic number, because the mean of its divisors is an integer number (10644256).

Almost surely, 2403414242 is an apocalyptic number.

403414242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 403414242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510924288).

403414242 is an abundant number, since it is smaller than the sum of its proper divisors (618434334).

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

403414242 is a wasteful number, since it uses less digits than its factorization.

403414242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 403414242 is about 20085.1746818393. The cubic root of 403414242 is about 738.8967257900.

Adding to 403414242 its reverse (242414304), we get a palindrome (645828546).

The spelling of 403414242 in words is "four hundred three million, four hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 163 231 242 326 363 462 487 489 726 847 974 978 1141 1461 1694 1793 2282 2541 2922 3409 3423 3586 5082 5357 5379 6818 6846 10227 10714 10758 12551 16071 19723 20454 25102 32142 37499 37653 39446 58927 59169 74998 75306 79381 112497 117854 118338 138061 158762 176781 224994 238143 276122 353562 412489 414183 476286 555667 824978 828366 873191 1111334 1237467 1667001 1746382 2474934 2619573 3334002 5239146 6112337 9605101 12224674 18337011 19210202 28815303 36674022 57630606 67235707 134471414 201707121 403414242