Search a number
-
+
314189484 = 223771139379
BaseRepresentation
bin10010101110100…
…010011010101100
3210220012110221120
4102232202122230
51120413030414
651102100540
710533365220
oct2256423254
9726173846
10314189484
11151396234
128927a750
135012854b
142da28780
151c8b32a9
hex12ba26ac

314189484 has 96 divisors (see below), whose sum is σ = 858009600. Its totient is φ = 87635520.

The previous prime is 314189471. The next prime is 314189489. The reversal of 314189484 is 484981413.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (314189489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828807 + ... + 829185.

It is an arithmetic number, because the mean of its divisors is an integer number (8937600).

Almost surely, 2314189484 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 314189484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429004800).

314189484 is an abundant number, since it is smaller than the sum of its proper divisors (543820116).

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

314189484 is a wasteful number, since it uses less digits than its factorization.

314189484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 314189484 is about 17725.3909406817. The cubic root of 314189484 is about 679.8251309283.

The spelling of 314189484 in words is "three hundred fourteen million, one hundred eighty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 139 142 213 278 284 379 417 426 497 556 758 834 852 973 994 1137 1491 1516 1668 1946 1988 2274 2653 2919 2982 3892 4548 5306 5838 5964 7959 9869 10612 11676 15918 19738 26909 29607 31836 39476 52681 53818 59214 69083 80727 105362 107636 118428 138166 158043 161454 188363 207249 210724 276332 316086 322908 368767 376726 414498 565089 632172 737534 753452 828996 1106301 1130178 1475068 2212602 2260356 3740351 4425204 7480702 11221053 14961404 22442106 26182457 44884212 52364914 78547371 104729828 157094742 314189484