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401373369 = 322914910321
BaseRepresentation
bin10111111011000…
…111100010111001
31000222020212202100
4113323013202321
51310222421434
6103454454013
712642421515
oct2773074271
91028225670
10401373369
11196623831
12b2504309
1365202747
143b441145
1525385699
hex17ec78b9

401373369 has 24 divisors (see below), whose sum is σ = 603837000. Its totient is φ = 256596480.

The previous prime is 401373361. The next prime is 401373431. The reversal of 401373369 is 963373104.

It can be written as a sum of positive squares in 4 ways, for example, as 18662400 + 382710969 = 4320^2 + 19563^2 .

It is not a de Polignac number, because 401373369 - 23 = 401373361 is a prime.

It is a super-2 number, since 2×4013733692 = 322201162684820322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (401373361) 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, 33729 + ... + 44049.

It is an arithmetic number, because the mean of its divisors is an integer number (25159875).

Almost surely, 2401373369 is an apocalyptic number.

It is an amenable number.

401373369 is a deficient number, since it is larger than the sum of its proper divisors (202463631).

401373369 is a wasteful number, since it uses less digits than its factorization.

401373369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 401373369 is about 20034.3048045097. The cubic root of 401373369 is about 737.6485922562.

The spelling of 401373369 in words is "four hundred one million, three hundred seventy-three thousand, three hundred sixty-nine".

Divisors: 1 3 9 29 87 149 261 447 1341 4321 10321 12963 30963 38889 92889 299309 897927 1537829 2693781 4613487 13840461 44597041 133791123 401373369