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401440068 = 2232231313701
BaseRepresentation
bin10111111011010…
…111110101000100
31000222101021020200
4113323113311010
51310232040233
6103500130500
712643120131
oct2773276504
91028337220
10401440068
11196669957
12b2536a30
1365226c03
143b45b588
152539a313
hex17ed7d44

401440068 has 72 divisors (see below), whose sum is σ = 1067242176. Its totient is φ = 126984000.

The previous prime is 401440031. The next prime is 401440079. The reversal of 401440068 is 860044104.

It is a super-2 number, since 2×4014400682 = 322308256391689248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106618 + ... + 110318.

It is an arithmetic number, because the mean of its divisors is an integer number (14822808).

Almost surely, 2401440068 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 401440068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533621088).

401440068 is an abundant number, since it is smaller than the sum of its proper divisors (665802108).

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

401440068 is a wasteful number, since it uses less digits than its factorization.

401440068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 401440068 is about 20035.9693551373. The cubic root of 401440068 is about 737.6894500561.

The spelling of 401440068 in words is "four hundred one million, four hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 131 138 207 262 276 393 414 524 786 828 1179 1572 2358 3013 3701 4716 6026 7402 9039 11103 12052 14804 18078 22206 27117 33309 36156 44412 54234 66618 85123 108468 133236 170246 255369 340492 484831 510738 766107 969662 1021476 1454493 1532214 1939324 2908986 3064428 4363479 5817972 8726958 11151113 17453916 22302226 33453339 44604452 66906678 100360017 133813356 200720034 401440068