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401784012 = 223274733923
BaseRepresentation
bin10111111100101…
…011110011001100
31001000000202001100
4113330223303030
51310324042022
6103511343100
712646051650
oct2774536314
91030022040
10401784012
11196884303
12b2681a90
1365317626
143b50aa60
15254171ac
hex17f2bccc

401784012 has 72 divisors (see below), whose sum is σ = 1185440256. Its totient is φ = 112349664.

The previous prime is 401784011. The next prime is 401784077. The reversal of 401784012 is 210487104.

It is a super-2 number, since 2×4017840122 = 322860784597632288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401784011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5118 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (16464448).

Almost surely, 2401784012 is an apocalyptic number.

401784012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401784012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592720128).

401784012 is an abundant number, since it is smaller than the sum of its proper divisors (783656244).

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

401784012 is a wasteful number, since it uses less digits than its factorization.

401784012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33987 (or 33982 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 401784012 is about 20044.5506809207. The cubic root of 401784012 is about 737.9000679900.

The spelling of 401784012 in words is "four hundred one million, seven hundred eighty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11844 33923 67846 101769 135692 203538 237461 305307 407076 474922 610614 712383 949844 1221228 1424766 1594381 2137149 2849532 3188762 4274298 4783143 6377524 8548596 9566286 11160667 14349429 19132572 22321334 28698858 33482001 44642668 57397716 66964002 100446003 133928004 200892006 401784012