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3382789752 = 23321372411423
BaseRepresentation
bin1100100110100001…
…0100011001111000
322201202022112011100
43021220110121320
523411443233002
61315400531400
7146554144536
oct31150243170
98652275140
103382789752
111486551011
127a4a80b60
1341baab454
142413ab156
1514bea811c
hexc9a14678

3382789752 has 96 divisors (see below), whose sum is σ = 9273401280. Its totient is φ = 1113937920.

The previous prime is 3382789691. The next prime is 3382789771. The reversal of 3382789752 is 2579872833.

It is a super-2 number, since 2×33827897522 = 22886533012472443008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376513 + ... + 2377935.

It is an arithmetic number, because the mean of its divisors is an integer number (96597930).

Almost surely, 23382789752 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 3382789752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636700640).

3382789752 is an abundant number, since it is smaller than the sum of its proper divisors (5890611528).

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

3382789752 is a wasteful number, since it uses less digits than its factorization.

3382789752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1806 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 3382789752 is about 58161.7550629277. The cubic root of 3382789752 is about 1501.1531506020.

The spelling of 3382789752 in words is "three billion, three hundred eighty-two million, seven hundred eighty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 241 274 411 482 548 723 822 964 1096 1233 1423 1446 1644 1928 2169 2466 2846 2892 3288 4269 4338 4932 5692 5784 8538 8676 9864 11384 12807 17076 17352 25614 33017 34152 51228 66034 99051 102456 132068 194951 198102 264136 297153 342943 389902 396204 584853 594306 685886 779804 792408 1028829 1169706 1188612 1371772 1559608 1754559 2057658 2339412 2377224 2743544 3086487 3509118 4115316 4678824 6172974 7018236 8230632 12345948 14036472 24691896 46983191 93966382 140949573 187932764 281899146 375865528 422848719 563798292 845697438 1127596584 1691394876 3382789752