Search a number
-
+
404376 = 23372983
BaseRepresentation
bin1100010101110011000
3202112200220
41202232120
5100420001
612400040
73302640
oct1425630
9675626
10404376
112568a5
12176020
1311209b
14a7520
157ec36
hex62b98

404376 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 110208.

The previous prime is 404357. The next prime is 404381. The reversal of 404376 is 673404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

404376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4831 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2404376 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 404376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

404376 is an abundant number, since it is smaller than the sum of its proper divisors (805224).

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

404376 is a wasteful number, since it uses less digits than its factorization.

404376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 404376 is about 635.9056533795. The cubic root of 404376 is about 73.9483447640.

It can be divided in two parts, 404 and 376, that added together give a triangular number (780 = T39).

The spelling of 404376 in words is "four hundred four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 83 84 87 116 166 168 174 203 232 249 332 348 406 498 581 609 664 696 812 996 1162 1218 1624 1743 1992 2324 2407 2436 3486 4648 4814 4872 6972 7221 9628 13944 14442 16849 19256 28884 33698 50547 57768 67396 101094 134792 202188 404376