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401424240 = 24357238943
BaseRepresentation
bin10111111011010…
…011111101110000
31000222100110112110
4113323103331300
51310231033430
6103455525320
712643023030
oct2773237560
91028313473
10401424240
11196658a78
12b2529840
136521c949
143b4558c0
15253957b0
hex17ed3f70

401424240 has 80 divisors (see below), whose sum is σ = 1422194688. Its totient is φ = 91753728.

The previous prime is 401424223. The next prime is 401424253. The reversal of 401424240 is 42424104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4014242402 = 322282840919155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 117792 + ... + 121151.

Almost surely, 2401424240 is an apocalyptic number.

401424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401424240 is an abundant number, since it is smaller than the sum of its proper divisors (1020770448).

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

401424240 is a wasteful number, since it uses less digits than its factorization.

401424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238966 (or 238960 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 401424240 is about 20035.5743616199. The cubic root of 401424240 is about 737.6797547092.

Adding to 401424240 its reverse (42424104), we get a palindrome (443848344).

The spelling of 401424240 in words is "four hundred one million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 238943 477886 716829 955772 1194715 1433658 1672601 1911544 2389430 2867316 3345202 3584145 3823088 4778860 5017803 5734632 6690404 7168290 8363005 9557720 10035606 11469264 13380808 14336580 16726010 19115440 20071212 25089015 26761616 28673160 33452020 40142424 50178030 57346320 66904040 80284848 100356060 133808080 200712120 401424240