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401221340 = 2251337179233
BaseRepresentation
bin10111111010100…
…010011011011100
31000221222011012122
4113322202123130
51310203040330
6103451322112
712641216342
oct2772423334
91027864178
10401221340
1119652a593
12b2450338
136517b4a0
143b401992
15253555e5
hex17ea26dc

401221340 has 96 divisors (see below), whose sum is σ = 941129280. Its totient is φ = 142718976.

The previous prime is 401221333. The next prime is 401221343. The reversal of 401221340 is 43122104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401221343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1721864 + ... + 1722096.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2401221340 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 401221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

401221340 is an abundant number, since it is smaller than the sum of its proper divisors (539907940).

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

401221340 is a wasteful number, since it uses less digits than its factorization.

401221340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 401221340 is about 20030.5102281495. The cubic root of 401221340 is about 737.5554469468. Note that the first 3 decimals are identical.

Adding to 401221340 its reverse (43122104), we get a palindrome (444343444).

It can be divided in two parts, 4012 and 21340, that added together give a palindrome (25352).

The spelling of 401221340 in words is "four hundred one million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 179 185 233 260 358 370 466 481 716 740 895 932 962 1165 1790 1924 2327 2330 2405 3029 3580 4654 4660 4810 6058 6623 8621 9308 9620 11635 12116 13246 15145 17242 23270 26492 30290 33115 34484 41707 43105 46540 60580 66230 83414 86099 86210 112073 132460 166828 172198 172420 208535 224146 344396 417070 430495 448292 542191 560365 834140 860990 1084382 1120730 1543159 1721980 2168764 2241460 2710955 3086318 5421910 6172636 7715795 10843820 15431590 20061067 30863180 40122134 80244268 100305335 200610670 401221340