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401321340 = 223257431739
BaseRepresentation
bin10111111010111…
…010110101111100
31000222011020101100
4113322322311330
51310214240330
6103453413100
712642114030
oct2772726574
91028136340
10401321340
11196598732
12b249a190
13651b4b64
143b42a1c0
1525375060
hex17ebad7c

401321340 has 144 divisors (see below), whose sum is σ = 1396362240. Its totient is φ = 91393920.

The previous prime is 401321317. The next prime is 401321399. The reversal of 401321340 is 43123104.

401321340 is a `hidden beast` number, since 4 + 0 + 1 + 321 + 340 = 666.

It is a super-2 number, since 2×4013213402 = 322117635878791200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542691 + ... + 543429.

It is an arithmetic number, because the mean of its divisors is an integer number (9696960).

Almost surely, 2401321340 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 401321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698181120).

401321340 is an abundant number, since it is smaller than the sum of its proper divisors (995040900).

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

401321340 is a wasteful number, since it uses less digits than its factorization.

401321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 401321340 is about 20033.0062646623. The cubic root of 401321340 is about 737.6167177140.

Adding to 401321340 its reverse (43123104), we get a palindrome (444444444).

The spelling of 401321340 in words is "four hundred one million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 431 630 739 862 1260 1293 1478 1724 2155 2217 2586 2956 3017 3695 3879 4310 4434 5172 5173 6034 6465 6651 7390 7758 8620 8868 9051 10346 11085 12068 12930 13302 14780 15085 15516 15519 18102 19395 20692 22170 25860 25865 26604 27153 30170 31038 33255 36204 38790 44340 45255 46557 51730 54306 60340 62076 66510 77580 77595 90510 93114 103460 108612 133020 135765 155190 181020 186228 232785 271530 310380 318509 465570 543060 637018 931140 955527 1274036 1592545 1911054 2229563 2866581 3185090 3822108 4459126 4777635 5733162 6370180 6688689 8918252 9555270 11147815 11466324 13377378 14332905 19110540 20066067 22295630 26754756 28665810 33443445 40132134 44591260 57331620 66886890 80264268 100330335 133773780 200660670 401321340