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401104312 = 23741971801
BaseRepresentation
bin10111111010000…
…101110110111000
31000221202012200021
4113322011312320
51310140314222
6103445020224
712640221220
oct2772056670
91027665607
10401104312
1119645a674
12b23b4674
136513a13b
143b3b1080
1525330ac7
hex17e85db8

401104312 has 64 divisors (see below), whose sum is σ = 890043840. Its totient is φ = 165888000.

The previous prime is 401104259. The next prime is 401104321. The reversal of 401104312 is 213401104.

It is a congruent number.

It is an unprimeable number.

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, 221812 + ... + 223612.

It is an arithmetic number, because the mean of its divisors is an integer number (13906935).

Almost surely, 2401104312 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 401104312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445021920).

401104312 is an abundant number, since it is smaller than the sum of its proper divisors (488939528).

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

401104312 is a wasteful number, since it uses less digits than its factorization.

401104312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 401104312 is about 20027.5887714922. The cubic root of 401104312 is about 737.4837300634.

Adding to 401104312 its reverse (213401104), we get a palindrome (614505416).

The spelling of 401104312 in words is "four hundred one million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 41 56 82 97 164 194 287 328 388 574 679 776 1148 1358 1801 2296 2716 3602 3977 5432 7204 7954 12607 14408 15908 25214 27839 31816 50428 55678 73841 100856 111356 147682 174697 222712 295364 349394 516887 590728 698788 1033774 1222879 1397576 2067548 2445758 4135096 4891516 7162577 9783032 14325154 28650308 50138039 57300616 100276078 200552156 401104312