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401131344 = 24319569773
BaseRepresentation
bin10111111010001…
…100011101010000
31000221210120202110
4113322030131100
51310142200334
6103445345320
712640363065
oct2772143520
91027716673
10401131344
11196478a09
12b2408240
1365149533
143b3bac6c
1525338ae9
hex17e8c750

401131344 has 80 divisors (see below), whose sum is σ = 1094126400. Its totient is φ = 126286848.

The previous prime is 401131333. The next prime is 401131361. The reversal of 401131344 is 443131104.

It is a self number, because there is not a number n which added to its sum of digits gives 401131344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518542 + ... + 519314.

It is an arithmetic number, because the mean of its divisors is an integer number (13676580).

Almost surely, 2401131344 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 401131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547063200).

401131344 is an abundant number, since it is smaller than the sum of its proper divisors (692995056).

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

401131344 is a wasteful number, since it uses less digits than its factorization.

401131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 401131344 is about 20028.2636291816. The cubic root of 401131344 is about 737.5002970027.

Adding to 401131344 its reverse (443131104), we get a palindrome (844262448).

The spelling of 401131344 in words is "four hundred one million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 569 773 912 1138 1546 1707 2276 2319 3092 3414 4552 4638 6184 6828 9104 9276 10811 12368 13656 14687 18552 21622 27312 29374 32433 37104 43244 44061 58748 64866 86488 88122 117496 129732 172976 176244 234992 259464 352488 439837 518928 704976 879674 1319511 1759348 2639022 3518696 5278044 7037392 8356903 10556088 16713806 21112176 25070709 33427612 50141418 66855224 100282836 133710448 200565672 401131344