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314401104 = 24322183341
BaseRepresentation
bin10010101111010…
…110000101010000
3210220121020020100
4102233112011100
51120441313404
651110412400
710535236203
oct2257260520
9726536210
10314401104
11151520226
1289361100
13501a0974
142da8193a
151c905d39
hex12bd6150

314401104 has 30 divisors (see below), whose sum is σ = 879886826. Its totient is φ = 104800320.

The previous prime is 314401091. The next prime is 314401127. The reversal of 314401104 is 401104413.

It can be written as a sum of positive squares in only one way, i.e., 252810000 + 61591104 = 15900^2 + 7848^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1091527 + ... + 1091814.

Almost surely, 2314401104 is an apocalyptic number.

It is an amenable number.

314401104 is an abundant number, since it is smaller than the sum of its proper divisors (565485722).

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

314401104 is a wasteful number, since it uses less digits than its factorization.

314401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183355 (or 2183346 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314401104 is about 17731.3593387535. The cubic root of 314401104 is about 679.9777270675.

Adding to 314401104 its reverse (401104413), we get a palindrome (715505517).

The spelling of 314401104 in words is "three hundred fourteen million, four hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2183341 4366682 6550023 8733364 13100046 17466728 19650069 26200092 34933456 39300138 52400184 78600276 104800368 157200552 314401104