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401771016 = 23344314419
BaseRepresentation
bin10111111100101…
…000101000001000
31001000000002020000
4113330220220020
51310323133031
6103511203000
712645666033
oct2774505010
91030002200
10401771016
11196875569
12b2676460
136531173a
143b50601a
15254133e6
hex17f28a08

401771016 has 80 divisors (see below), whose sum is σ = 1151581200. Its totient is φ = 130800096.

The previous prime is 401770997. The next prime is 401771023. The reversal of 401771016 is 610177104.

It is a super-2 number, since 2×4017710162 = 322839898595344512, which contains 22 as substring.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 20655 + ... + 35073.

It is an arithmetic number, because the mean of its divisors is an integer number (14394765).

Almost surely, 2401771016 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 401771016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575790600).

401771016 is an abundant number, since it is smaller than the sum of its proper divisors (749810184).

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

401771016 is a wasteful number, since it uses less digits than its factorization.

401771016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14480 (or 14467 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 401771016 is about 20044.2265004165. The cubic root of 401771016 is about 737.8921119304.

The spelling of 401771016 in words is "four hundred one million, seven hundred seventy-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 516 648 774 1032 1161 1548 2322 3096 3483 4644 6966 9288 13932 14419 27864 28838 43257 57676 86514 115352 129771 173028 259542 346056 389313 519084 620017 778626 1038168 1167939 1240034 1557252 1860051 2335878 2480068 3114504 3720102 4671756 4960136 5580153 7440204 9343512 11160306 14880408 16740459 22320612 33480918 44641224 50221377 66961836 100442754 133923672 200885508 401771016