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401133340 = 225234121269
BaseRepresentation
bin10111111010001…
…100111100011100
31000221210200111101
4113322030330130
51310142231330
6103445402444
712640401646
oct2772147434
91027720441
10401133340
1119647a463
12b2409424
136514a40a
143b3bb896
15253394ca
hex17e8cf1c

401133340 has 48 divisors (see below), whose sum is σ = 900486720. Its totient is φ = 149726720.

The previous prime is 401133319. The next prime is 401133347. The reversal of 401133340 is 43331104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401133347) 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 15 ways as a sum of consecutive naturals, for example, 8226 + ... + 29494.

It is an arithmetic number, because the mean of its divisors is an integer number (18760140).

Almost surely, 2401133340 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 401133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450243360).

401133340 is an abundant number, since it is smaller than the sum of its proper divisors (499353380).

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

401133340 is a wasteful number, since it uses less digits than its factorization.

401133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342 (or 21340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 401133340 is about 20028.3134587014. The cubic root of 401133340 is about 737.5015202497.

Adding to 401133340 its reverse (43331104), we get a palindrome (444464444).

The spelling of 401133340 in words is "four hundred one million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 18860 21269 42538 85076 106345 212690 425380 489187 872029 978374 1744058 1956748 2445935 3488116 4360145 4891870 8720290 9783740 17440580 20056667 40113334 80226668 100283335 200566670 401133340