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331342232 = 231323711951
BaseRepresentation
bin10011101111111…
…110000110011000
3212002110221002112
4103233332012120
51134310422412
652513451452
711132235224
oct2357760630
9762427075
10331342232
11160041361
1292b70b88
13538529c0
1432011784
151e150722
hex13bfe198

331342232 has 64 divisors (see below), whose sum is σ = 708341760. Its totient is φ = 144144000.

The previous prime is 331342217. The next prime is 331342237. The reversal of 331342232 is 232243133.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 331342198 and 331342207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331342237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168857 + ... + 170807.

It is an arithmetic number, because the mean of its divisors is an integer number (11067840).

Almost surely, 2331342232 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 331342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354170880).

331342232 is an abundant number, since it is smaller than the sum of its proper divisors (376999528).

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

331342232 is a wasteful number, since it uses less digits than its factorization.

331342232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2060 counting only the distinct ones).

The product of its digits is 2592, while the sum is 23.

The square root of 331342232 is about 18202.8083547567. The cubic root of 331342232 is about 691.9779638143.

Adding to 331342232 its reverse (232243133), we get a palindrome (563585365).

Subtracting from 331342232 its reverse (232243133), we obtain a palindrome (99099099).

The spelling of 331342232 in words is "three hundred thirty-one million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 71 92 104 142 184 284 299 568 598 923 1196 1633 1846 1951 2392 3266 3692 3902 6532 7384 7804 13064 15608 21229 25363 42458 44873 50726 84916 89746 101452 138521 169832 179492 202904 277042 358984 554084 583349 1108168 1166698 1800773 2333396 3185983 3601546 4666792 6371966 7203092 12743932 14406184 25487864 41417779 82835558 165671116 331342232