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402143316 = 223234393319
BaseRepresentation
bin10111111110000…
…011100001010100
31001000200222220220
4113332003201110
51310422041231
6103523154340
712652106331
oct2776034124
91030628826
10402143316
11196aaa253
12b28159b0
1365412033
143b5a1988
1525488896
hex17f83854

402143316 has 48 divisors (see below), whose sum is σ = 981657600. Its totient is φ = 127888992.

The previous prime is 402143311. The next prime is 402143323. The reversal of 402143316 is 613341204.

It is a super-3 number, since 3×4021433163 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402143311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119505 + ... + 122823.

It is an arithmetic number, because the mean of its divisors is an integer number (20451200).

Almost surely, 2402143316 is an apocalyptic number.

402143316 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402143316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490828800).

402143316 is an abundant number, since it is smaller than the sum of its proper divisors (579514284).

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

402143316 is a wasteful number, since it uses less digits than its factorization.

402143316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 402143316 is about 20053.5113134832. The cubic root of 402143316 is about 738.1199634600.

The spelling of 402143316 in words is "four hundred two million, one hundred forty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 439 878 1317 1756 2634 3319 5268 6638 9957 10097 13276 19914 20194 30291 39828 40388 60582 76337 121164 152674 229011 305348 458022 916044 1457041 2914082 4371123 5828164 8742246 17484492 33511943 67023886 100535829 134047772 201071658 402143316