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4195314 = 234192947
BaseRepresentation
bin10000000000001111110010
321220010220000
4100000033302
52033222224
6225530430
750442144
oct20001762
97803800
104195314
112406002
1214a3a16
13b3b746
147b2c94
1557d0c9
hex4003f2

4195314 has 80 divisors (see below), whose sum is σ = 10454400. Its totient is φ = 1251936.

The previous prime is 4195309. The next prime is 4195327. The reversal of 4195314 is 4135914.

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 39 ways as a sum of consecutive naturals, for example, 89239 + ... + 89285.

It is an arithmetic number, because the mean of its divisors is an integer number (130680).

Almost surely, 24195314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4195314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227200).

4195314 is an abundant number, since it is smaller than the sum of its proper divisors (6259086).

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

4195314 is a wasteful number, since it uses less digits than its factorization.

4195314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 4195314 is about 2048.2465671886. The cubic root of 4195314 is about 161.2828380931.

The spelling of 4195314 in words is "four million, one hundred ninety-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 29 38 47 54 57 58 81 87 94 114 141 162 171 174 261 282 342 423 513 522 551 783 846 893 1026 1102 1269 1363 1539 1566 1653 1786 2349 2538 2679 2726 3078 3306 3807 4089 4698 4959 5358 7614 8037 8178 9918 12267 14877 16074 24111 24534 25897 29754 36801 44631 48222 51794 72333 73602 77691 89262 110403 144666 155382 220806 233073 466146 699219 1398438 2097657 4195314