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403312104 = 2332131074027
BaseRepresentation
bin11000000010100…
…000110111101000
31001002220101012100
4120002200313220
51311221441404
6104004213400
712665045016
oct3002406750
91032811170
10403312104
11197728398
12b309a260
1365731020
143b7c78b6
1525619d39
hex180a0de8

403312104 has 96 divisors (see below), whose sum is σ = 1187615520. Its totient is φ = 122905728.

The previous prime is 403312103. The next prime is 403312111. The reversal of 403312104 is 401213304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (403312103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 98139 + ... + 102165.

It is an arithmetic number, because the mean of its divisors is an integer number (12370995).

Almost surely, 2403312104 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 403312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593807760).

403312104 is an abundant number, since it is smaller than the sum of its proper divisors (784303416).

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

403312104 is a wasteful number, since it uses less digits than its factorization.

403312104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 403312104 is about 20082.6318992307. The cubic root of 403312104 is about 738.8343616029.

Adding to 403312104 its reverse (401213304), we get a palindrome (804525408).

The spelling of 403312104 in words is "four hundred three million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 107 117 156 214 234 312 321 428 468 642 856 936 963 1284 1391 1926 2568 2782 3852 4027 4173 5564 7704 8054 8346 11128 12081 12519 16108 16692 24162 25038 32216 33384 36243 48324 50076 52351 72486 96648 100152 104702 144972 157053 209404 289944 314106 418808 430889 471159 628212 861778 942318 1256424 1292667 1723556 1884636 2585334 3447112 3769272 3878001 5170668 5601557 7756002 10341336 11203114 15512004 16804671 22406228 31024008 33609342 44812456 50414013 67218684 100828026 134437368 201656052 403312104