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3254374752 = 253471395189
BaseRepresentation
bin1100000111111001…
…1101000101100000
322101210200100220020
43001332131011200
523131104443002
61254532313440
7143434505016
oct30176350540
98353610806
103254374752
111420011a12
12769a72880
133cb2c9245
1422c3008b6
15140a8e2bc
hexc1f9d160

3254374752 has 96 divisors (see below), whose sum is σ = 8788953600. Its totient is φ = 1053869568.

The previous prime is 3254374729. The next prime is 3254374757. The reversal of 3254374752 is 2574734523.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3254374757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624574 + ... + 629762.

It is an arithmetic number, because the mean of its divisors is an integer number (91551600).

Almost surely, 23254374752 is an apocalyptic number.

3254374752 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 3254374752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394476800).

3254374752 is an abundant number, since it is smaller than the sum of its proper divisors (5534578848).

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

3254374752 is a wasteful number, since it uses less digits than its factorization.

3254374752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5380 counting only the distinct ones).

The product of its digits is 705600, while the sum is 42.

The square root of 3254374752 is about 57047.1274649303. The cubic root of 3254374752 is about 1481.9123611169.

The spelling of 3254374752 in words is "three billion, two hundred fifty-four million, three hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 139 141 188 278 282 376 417 556 564 752 834 1112 1128 1504 1668 2224 2256 3336 4448 4512 5189 6533 6672 10378 13066 13344 15567 19599 20756 26132 31134 39198 41512 52264 62268 78396 83024 104528 124536 156792 166048 209056 243883 249072 313584 487766 498144 627168 721271 731649 975532 1442542 1463298 1951064 2163813 2885084 2926596 3902128 4327626 5770168 5853192 7804256 8655252 11540336 11706384 17310504 23080672 23412768 33899737 34621008 67799474 69242016 101699211 135598948 203398422 271197896 406796844 542395792 813593688 1084791584 1627187376 3254374752