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3684144352 = 257160110273
BaseRepresentation
bin1101101110010111…
…1001010011100000
3100111202100220221211
43123211321103200
530021120104402
61405323555504
7160203465430
oct33345712340
910452326854
103684144352
1116206701a9
1286998bb94
13469361995
1426d4142c0
151686834d7
hexdb9794e0

3684144352 has 48 divisors (see below), whose sum is σ = 8295309792. Its totient is φ = 1577779200.

The previous prime is 3684144329. The next prime is 3684144367. The reversal of 3684144352 is 2534414863.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 353488 + ... + 363760.

It is an arithmetic number, because the mean of its divisors is an integer number (172818954).

Almost surely, 23684144352 is an apocalyptic number.

3684144352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3684144352 is an abundant number, since it is smaller than the sum of its proper divisors (4611165440).

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

3684144352 is a wasteful number, since it uses less digits than its factorization.

3684144352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11891 (or 11883 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 3684144352 is about 60697.1527503556. The cubic root of 3684144352 is about 1544.4678752449.

The spelling of 3684144352 in words is "three billion, six hundred eighty-four million, one hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1601 3202 6404 10273 11207 12808 20546 22414 25616 41092 44828 51232 71911 82184 89656 143822 164368 179312 287644 328736 358624 575288 1150576 2301152 16447073 32894146 65788292 115129511 131576584 230259022 263153168 460518044 526306336 921036088 1842072176 3684144352