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324041312 = 2572474397
BaseRepresentation
bin10011010100000…
…111101001100000
3211120202000010002
4103110013221200
51130423310222
652053155132
711013206600
oct2324075140
9746660102
10324041312
11156a05041
129062baa8
135219782a
1431070c00
151d6ac392
hex13507a60

324041312 has 72 divisors (see below), whose sum is σ = 758074464. Its totient is φ = 135889152.

The previous prime is 324041309. The next prime is 324041317. The reversal of 324041312 is 213140423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324041317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71498 + ... + 75894.

It is an arithmetic number, because the mean of its divisors is an integer number (10528812).

Almost surely, 2324041312 is an apocalyptic number.

324041312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379037232).

324041312 is an abundant number, since it is smaller than the sum of its proper divisors (434033152).

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

324041312 is a wasteful number, since it uses less digits than its factorization.

324041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 324041312 is about 18001.1475189778. The cubic root of 324041312 is about 686.8577359178.

Adding to 324041312 its reverse (213140423), we get a palindrome (537181735).

The spelling of 324041312 in words is "three hundred twenty-four million, forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 224 329 376 392 658 752 784 1316 1504 1568 2303 2632 4397 4606 5264 8794 9212 10528 17588 18424 30779 35176 36848 61558 70352 73696 123116 140704 206659 215453 246232 413318 430906 492464 826636 861812 984928 1446613 1653272 1723624 2893226 3306544 3447248 5786452 6613088 6894496 10126291 11572904 20252582 23145808 40505164 46291616 81010328 162020656 324041312