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401343104 = 2713072399
BaseRepresentation
bin10111111011000…
…000001010000000
31000222012100020102
4113323000022000
51310220434404
6103454101532
712642234341
oct2773001200
91028170212
10401343104
11196603018
12b24aa8a8
13651c1a36
143b4340c8
152537b71e
hex17ec0280

401343104 has 32 divisors (see below), whose sum is σ = 800496000. Its totient is φ = 200434432.

The previous prime is 401343101. The next prime is 401343119.

It is a happy number.

401343104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4013431042 = 322152574256709632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401343101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166097 + ... + 168495.

It is an arithmetic number, because the mean of its divisors is an integer number (25015500).

Almost surely, 2401343104 is an apocalyptic number.

It is an amenable number.

401343104 is a deficient number, since it is larger than the sum of its proper divisors (399152896).

401343104 is a wasteful number, since it uses less digits than its factorization.

401343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 401343104 is about 20033.5494608419. The cubic root of 401343104 is about 737.6300513351.

The spelling of 401343104 in words is "four hundred one million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 1307 2399 2614 4798 5228 9596 10456 19192 20912 38384 41824 76768 83648 153536 167296 307072 3135493 6270986 12541972 25083944 50167888 100335776 200671552 401343104