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3231334032 = 2432313122343
BaseRepresentation
bin1100000010011010…
…0011111010010000
322100012022202222020
43000212203322100
523104210142112
61252350411440
7143034612633
oct30046437220
98305282866
103231334032
1114090050a3
12762200b80
133c65bca94
14229223c1a
1513da3c48c
hexc09a3e90

3231334032 has 80 divisors (see below), whose sum is σ = 8777438208. Its totient is φ = 1022369920.

The previous prime is 3231334027. The next prime is 3231334033. The reversal of 3231334032 is 2304331323.

It is a happy number.

It is a super-2 number, since 2×32313340322 = 20883039252722754048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3231333993 and 3231334011.

It is not an unprimeable number, because it can be changed into a prime (3231334033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 133453 + ... + 155795.

Almost surely, 23231334032 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 3231334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388719104).

3231334032 is an abundant number, since it is smaller than the sum of its proper divisors (5546104176).

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

3231334032 is a wasteful number, since it uses less digits than its factorization.

3231334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22508 (or 22502 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3231334032 is about 56844.8241443317. The cubic root of 3231334032 is about 1478.4068002887.

Adding to 3231334032 its reverse (2304331323), we get a palindrome (5535665355).

The spelling of 3231334032 in words is "three billion, two hundred thirty-one million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 131 138 184 262 276 368 393 524 552 786 1048 1104 1572 2096 3013 3144 6026 6288 9039 12052 18078 22343 24104 36156 44686 48208 67029 72312 89372 134058 144624 178744 268116 357488 513889 536232 1027778 1072464 1541667 2055556 2926933 3083334 4111112 5853866 6166668 8222224 8780799 11707732 12333336 17561598 23415464 24666672 35123196 46830928 67319459 70246392 134638918 140492784 201958377 269277836 403916754 538555672 807833508 1077111344 1615667016 3231334032