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404043312 = 24329210009
BaseRepresentation
bin11000000101010…
…011011000110000
31001011021112020010
4120011103120300
51311413341222
6104032014520
713004211561
oct3005233060
91034245203
10404043312
111980877a2
12b3391440
1365928aaa
143b938168
152571180c
hex18153630

404043312 has 60 divisors (see below), whose sum is σ = 1081120040. Its totient is φ = 130023936.

The previous prime is 404043281. The next prime is 404043331. The reversal of 404043312 is 213340404.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35364 + ... + 45372.

Almost surely, 2404043312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540560020).

404043312 is an abundant number, since it is smaller than the sum of its proper divisors (677076728).

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

404043312 is a wasteful number, since it uses less digits than its factorization.

404043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 404043312 is about 20100.8286396357. The cubic root of 404043312 is about 739.2805961952.

Adding to 404043312 its reverse (213340404), we get a palindrome (617383716).

The spelling of 404043312 in words is "four hundred four million, forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 841 1392 1682 2523 3364 5046 6728 10009 10092 13456 20018 20184 30027 40036 40368 60054 80072 120108 160144 240216 290261 480432 580522 870783 1161044 1741566 2322088 3483132 4644176 6966264 8417569 13932528 16835138 25252707 33670276 50505414 67340552 101010828 134681104 202021656 404043312