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401332044 = 223293771439
BaseRepresentation
bin10111111010111…
…101011101001100
31000222011210001210
4113322331131030
51310220111134
6103453534420
712642160161
oct2772753514
91028153053
10401332044
111965a5783
12b24a4410
13651b99a9
143b430068
15253782e9
hex17ebd74c

401332044 has 96 divisors (see below), whose sum is σ = 1011225600. Its totient is φ = 123621120.

The previous prime is 401332021. The next prime is 401332049. The reversal of 401332044 is 440233104.

It is a super-2 number, since 2×4013320442 = 322134819082435872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401332044.

It is not an unprimeable number, because it can be changed into a prime (401332049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913977 + ... + 914415.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2401332044 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 401332044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505612800).

401332044 is an abundant number, since it is smaller than the sum of its proper divisors (609893556).

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

401332044 is a wasteful number, since it uses less digits than its factorization.

401332044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 401332044 is about 20033.2734219847. The cubic root of 401332044 is about 737.6232755339.

Adding to 401332044 its reverse (440233104), we get a palindrome (841565148).

The spelling of 401332044 in words is "four hundred one million, three hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 12 29 37 58 71 74 87 111 116 142 148 174 213 222 284 348 426 439 444 852 878 1073 1317 1756 2059 2146 2627 2634 3219 4118 4292 5254 5268 6177 6438 7881 8236 10508 12354 12731 12876 15762 16243 24708 25462 31169 31524 32486 38193 48729 50924 62338 64972 76183 76386 93507 97458 124676 152366 152772 187014 194916 228549 304732 374028 457098 471047 903901 914196 942094 1153253 1413141 1807802 1884188 2306506 2711703 2826282 3459759 3615604 4613012 5423406 5652564 6919518 10846812 13839036 33444337 66888674 100333011 133777348 200666022 401332044