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400314269 = 6122972857
BaseRepresentation
bin10111110111000…
…100111110011101
31000220021001221102
4113313010332131
51304440024034
6103420042445
712630420665
oct2767047635
91026231842
10400314269
11195a70043
12b2093425
1364c21664
143b2471a5
152522697e
hex17dc4f9d

400314269 has 8 divisors (see below), whose sum is σ = 407196408. Its totient is φ = 393442560.

The previous prime is 400314263. The next prime is 400314319. The reversal of 400314269 is 962413004.

It can be written as a sum of positive squares in 4 ways, for example, as 10725625 + 389588644 = 3275^2 + 19738^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400314269 is a prime.

It is a super-2 number, since 2×4003142692 = 320503027930008722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400314263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 138689 + ... + 141545.

It is an arithmetic number, because the mean of its divisors is an integer number (50899551).

Almost surely, 2400314269 is an apocalyptic number.

It is an amenable number.

400314269 is a deficient number, since it is larger than the sum of its proper divisors (6882139).

400314269 is a wasteful number, since it uses less digits than its factorization.

400314269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 400314269 is about 20007.8551824027. The cubic root of 400314269 is about 736.9992120308. Note that the first 3 decimals are identical.

The spelling of 400314269 in words is "four hundred million, three hundred fourteen thousand, two hundred sixty-nine".

Divisors: 1 61 2297 2857 140117 174277 6562529 400314269