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3307738752 = 27327573793
BaseRepresentation
bin1100010100101000…
…0001011010000000
322112112002112112200
43011022001122000
523233240120002
61304120153200
7144653213133
oct30512013200
98475075480
103307738752
11144815009a
12783908800
13409391886
1423543221a
151455d0b1c
hexc5281680

3307738752 has 96 divisors (see below), whose sum is σ = 9533449380. Its totient is φ = 1100832768.

The previous prime is 3307738727. The next prime is 3307738877. The reversal of 3307738752 is 2578377033.

It can be written as a sum of positive squares in 2 ways, for example, as 3265436736 + 42302016 = 57144^2 + 6504^2 .

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

It is a super-2 number, since 2×33077387522 = 21882271302965035008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3307738698 and 3307738707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870168 + ... + 873960.

Almost surely, 23307738752 is an apocalyptic number.

3307738752 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 3307738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766724690).

3307738752 is an abundant number, since it is smaller than the sum of its proper divisors (6225710628).

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

3307738752 is a wasteful number, since it uses less digits than its factorization.

3307738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4570 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 3307738752 is about 57512.9442125857. The cubic root of 3307738752 is about 1489.9684319844.

The spelling of 3307738752 in words is "three billion, three hundred seven million, seven hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 757 1152 1514 2271 3028 3793 4542 6056 6813 7586 9084 11379 12112 13626 15172 18168 22758 24224 27252 30344 34137 36336 45516 48448 54504 60688 68274 72672 91032 96896 109008 121376 136548 145344 182064 218016 242752 273096 290688 364128 436032 485504 546192 728256 872064 1092384 1456512 2184768 2871301 4369536 5742602 8613903 11485204 17227806 22970408 25841709 34455612 45940816 51683418 68911224 91881632 103366836 137822448 183763264 206733672 275644896 367526528 413467344 551289792 826934688 1102579584 1653869376 3307738752