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401366340 = 223451092273
BaseRepresentation
bin10111111011000…
…101110101000100
31000222020112010000
4113323011311010
51310222210330
6103454401300
712642362154
oct2773056504
91028215100
10401366340
11196619521
12b2500230
13651cc49b
143b43c764
1525383560
hex17ec5d44

401366340 has 120 divisors (see below), whose sum is σ = 1271211480. Its totient is φ = 106002432.

The previous prime is 401366299. The next prime is 401366347. The reversal of 401366340 is 43663104.

It can be written as a sum of positive squares in 4 ways, for example, as 145878084 + 255488256 = 12078^2 + 15984^2 .

It is a super-2 number, since 2×4013663402 = 322189877769991200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (401366347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 175444 + ... + 177716.

It is an arithmetic number, because the mean of its divisors is an integer number (10593429).

Almost surely, 2401366340 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 401366340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635605740).

401366340 is an abundant number, since it is smaller than the sum of its proper divisors (869845140).

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

401366340 is a wasteful number, since it uses less digits than its factorization.

401366340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 401366340 is about 20034.1293796361. The cubic root of 401366340 is about 737.6442862387.

Subtracting from 401366340 its product of nonzero digits (5184), we obtain a square (401361156 = 200342).

The spelling of 401366340 in words is "four hundred one million, three hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 109 135 162 180 218 270 324 327 405 436 540 545 654 810 981 1090 1308 1620 1635 1962 2180 2273 2943 3270 3924 4546 4905 5886 6540 6819 8829 9092 9810 11365 11772 13638 14715 17658 19620 20457 22730 27276 29430 34095 35316 40914 44145 45460 58860 61371 68190 81828 88290 102285 122742 136380 176580 184113 204570 245484 247757 306855 368226 409140 495514 613710 736452 743271 920565 991028 1227420 1238785 1486542 1841130 2229813 2477570 2973084 3682260 3716355 4459626 4955140 6689439 7432710 8919252 11149065 13378878 14865420 20068317 22298130 26757756 33447195 40136634 44596260 66894390 80273268 100341585 133788780 200683170 401366340