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319144 = 23741139
BaseRepresentation
bin1001101111010101000
3121012210011
41031322220
540203034
610501304
72466310
oct1157250
9535704
10319144
111a8861
12134834
13b2357
1484440
1564864
hex4dea8

319144 has 32 divisors (see below), whose sum is σ = 705600. Its totient is φ = 132480.

The previous prime is 319133. The next prime is 319147. The reversal of 319144 is 441913.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (319147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2227 + ... + 2365.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2319144 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 319144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

319144 is an abundant number, since it is smaller than the sum of its proper divisors (386456).

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

319144 is a wasteful number, since it uses less digits than its factorization.

319144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 319144 is about 564.9283140364. The cubic root of 319144 is about 68.3379942620.

The spelling of 319144 in words is "three hundred nineteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 139 164 278 287 328 556 574 973 1112 1148 1946 2296 3892 5699 7784 11398 22796 39893 45592 79786 159572 319144