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400304344 = 231116727239
BaseRepresentation
bin10111110111000…
…010100011011000
31000220020120022211
4113313002203120
51304434214334
6103415524504
712630350026
oct2767024330
91026216284
10400304344
11195a63640
12b2089734
1364c19c9b
143b243716
1525223a64
hex17dc28d8

400304344 has 32 divisors (see below), whose sum is σ = 823737600. Its totient is φ = 180860320.

The previous prime is 400304339. The next prime is 400304363. The reversal of 400304344 is 443403004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077 + ... + 28315.

It is an arithmetic number, because the mean of its divisors is an integer number (25741800).

Almost surely, 2400304344 is an apocalyptic number.

400304344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400304344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411868800).

400304344 is an abundant number, since it is smaller than the sum of its proper divisors (423433256).

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

400304344 is a wasteful number, since it uses less digits than its factorization.

400304344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27423 (or 27419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 400304344 is about 20007.6071532805. The cubic root of 400304344 is about 736.9931211682.

Adding to 400304344 its reverse (443403004), we get a palindrome (843707348).

The spelling of 400304344 in words is "four hundred million, three hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 167 334 668 1336 1837 3674 7348 14696 27239 54478 108956 217912 299629 599258 1198516 2397032 4548913 9097826 18195652 36391304 50038043 100076086 200152172 400304344