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814000407 = 31137666667
BaseRepresentation
bin110000100001001…
…010100100010111
32002201200111122020
4300201022210113
53131341003112
6212434504223
726112614013
oct6041124427
92081614566
10814000407
11388533610
121a8735073
13cc84555c
147a171543
154b6e048c
hex3084a917

814000407 has 16 divisors (see below), whose sum is σ = 1216002432. Its totient is φ = 479999520.

The previous prime is 814000399. The next prime is 814000417. The reversal of 814000407 is 704000418.

It is not a de Polignac number, because 814000407 - 23 = 814000399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814000417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332113 + ... + 334554.

It is an arithmetic number, because the mean of its divisors is an integer number (76000152).

Almost surely, 2814000407 is an apocalyptic number.

814000407 is a deficient number, since it is larger than the sum of its proper divisors (402002025).

814000407 is a wasteful number, since it uses less digits than its factorization.

814000407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666718.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 814000407 is about 28530.6923680446. The cubic root of 814000407 is about 933.7018242950.

The spelling of 814000407 in words is "eight hundred fourteen million, four hundred seven", and thus it is an aban number.

Divisors: 1 3 11 33 37 111 407 1221 666667 2000001 7333337 22000011 24666679 74000037 271333469 814000407