Search a number
-
+
185314374 = 232721631289
BaseRepresentation
bin10110000101110…
…10110001000110
3110220200221112100
423002322301012
5334420024444
630215532530
74410101100
oct1302726106
9426627470
10185314374
1195672483
125208a146
132c514a9b
141a87c570
1511407e69
hexb0bac46

185314374 has 72 divisors (see below), whose sum is σ = 470297880. Its totient is φ = 52581312.

The previous prime is 185314307. The next prime is 185314397. The reversal of 185314374 is 473413581.

It is a happy number.

185314374 is a `hidden beast` number, since 18 + 531 + 43 + 74 = 666.

185314374 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1853143742 = 68682834422023752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 143122 + ... + 144410.

It is an arithmetic number, because the mean of its divisors is an integer number (6531915).

Almost surely, 2185314374 is an apocalyptic number.

185314374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 185314374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235148940).

185314374 is an abundant number, since it is smaller than the sum of its proper divisors (284983506).

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

185314374 is a wasteful number, since it uses less digits than its factorization.

185314374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1464 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 185314374 is about 13613.0222213879. The cubic root of 185314374 is about 570.1244972749.

The spelling of 185314374 in words is "one hundred eighty-five million, three hundred fourteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 163 294 326 441 489 882 978 1141 1289 1467 2282 2578 2934 3423 3867 6846 7734 7987 9023 10269 11601 15974 18046 20538 23202 23961 27069 47922 54138 63161 71883 81207 126322 143766 162414 189483 210107 378966 420214 568449 630321 1136898 1260642 1470749 1890963 2941498 3781926 4412247 8824494 10295243 13236741 20590486 26473482 30885729 61771458 92657187 185314374