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319390148 = 227112313041
BaseRepresentation
bin10011000010011…
…000000111000100
3211020222200220202
4103002120013010
51123230441043
651405350032
710625525420
oct2302300704
9736880822
10319390148
11154318600
128ab68318
135122976c
14305bdb80
151d08e1b8
hex130981c4

319390148 has 72 divisors (see below), whose sum is σ = 725018112. Its totient is φ = 120384000.

The previous prime is 319390147. The next prime is 319390157. The reversal of 319390148 is 841093913.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (319390147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103508 + ... + 106548.

It is an arithmetic number, because the mean of its divisors is an integer number (10069696).

Almost surely, 2319390148 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 319390148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362509056).

319390148 is an abundant number, since it is smaller than the sum of its proper divisors (405627964).

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

319390148 is a wasteful number, since it uses less digits than its factorization.

319390148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 319390148 is about 17871.4898091905. The cubic root of 319390148 is about 683.5555889100. Note that the first 4 decimals are identical.

The spelling of 319390148 in words is "three hundred nineteen million, three hundred ninety thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 121 124 154 217 242 308 341 434 484 682 847 868 1364 1694 2387 3041 3388 3751 4774 6082 7502 9548 12164 15004 21287 26257 33451 42574 52514 66902 85148 94271 105028 133804 188542 234157 367961 377084 468314 659897 735922 936628 1036981 1319794 1471844 2073962 2575727 2639588 4147924 5151454 7258867 10302908 11406791 14517734 22813582 29035468 45627164 79847537 159695074 319390148