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3680084840 = 23592002121
BaseRepresentation
bin1101101101011001…
…1010001101101000
3100111110201200100112
43123112122031220
530014100203330
61405100553452
7160124130215
oct33326321550
910443650315
103680084840
111619348233
12868552888
1346856ccc3
1426ca78b0c
15168130795
hexdb59a368

3680084840 has 16 divisors (see below), whose sum is σ = 8280190980. Its totient is φ = 1472033920.

The previous prime is 3680084831. The next prime is 3680084951. The reversal of 3680084840 is 484800863.

It can be written as a sum of positive squares in 2 ways, for example, as 3487374916 + 192709924 = 59054^2 + 13882^2 .

It is a super-3 number, since 3×36800848403 (a number of 30 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 46001021 + ... + 46001100.

Almost surely, 23680084840 is an apocalyptic number.

It is an amenable number.

3680084840 is an abundant number, since it is smaller than the sum of its proper divisors (4600106140).

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

3680084840 is a wasteful number, since it uses less digits than its factorization.

3680084840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92002132 (or 92002128 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 3680084840 is about 60663.7028213742. The cubic root of 3680084840 is about 1543.9003902288.

The spelling of 3680084840 in words is "three billion, six hundred eighty million, eighty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 92002121 184004242 368008484 460010605 736016968 920021210 1840042420 3680084840