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314743104 = 26331314011
BaseRepresentation
bin10010110000101…
…001100101000000
3210221020121101000
4102300221211000
51121033234404
651122012000
710541162244
oct2260514500
9727217330
10314743104
11151734175
12894a7000
1350290530
142db30424
151c972339
hex12c29940

314743104 has 112 divisors (see below), whose sum is σ = 996533440. Its totient is φ = 96837120.

The previous prime is 314743073. The next prime is 314743129. The reversal of 314743104 is 401347413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15459 + ... + 29469.

It is an arithmetic number, because the mean of its divisors is an integer number (8897620).

Almost surely, 2314743104 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 314743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498266720).

314743104 is an abundant number, since it is smaller than the sum of its proper divisors (681790336).

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

314743104 is a wasteful number, since it uses less digits than its factorization.

314743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14045 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 314743104 is about 17741.0006482160. Note that the first 3 decimals coincide. The cubic root of 314743104 is about 680.2241936654.

The spelling of 314743104 in words is "three hundred fourteen million, seven hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 14011 22464 28022 42033 56044 84066 112088 126099 168132 182143 224176 252198 336264 364286 378297 448352 504396 546429 672528 728572 756594 896704 1008792 1092858 1345056 1457144 1513188 1639287 2017584 2185716 2690112 2914288 3026376 3278574 4035168 4371432 4917861 5828576 6052752 6557148 8070336 8742864 9835722 11657152 12105504 13114296 17485728 19671444 24211008 26228592 34971456 39342888 52457184 78685776 104914368 157371552 314743104