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3682079440 = 245133540461
BaseRepresentation
bin1101101101111000…
…0001001011010000
3100111121111000102121
43123132001023100
530020103020230
61405211424024
7160150105324
oct33336011320
910447430377
103682079440
11161a48a866
12869155014
13468abab40
1426d037984
151683c677a
hexdb7812d0

3682079440 has 40 divisors (see below), whose sum is σ = 9219363048. Its totient is φ = 1359536640.

The previous prime is 3682079437. The next prime is 3682079459. The reversal of 3682079440 is 449702863.

It can be written as a sum of positive squares in 4 ways, for example, as 254211136 + 3427868304 = 15944^2 + 58548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769191 + ... + 1771270.

Almost surely, 23682079440 is an apocalyptic number.

It is an amenable number.

3682079440 is an abundant number, since it is smaller than the sum of its proper divisors (5537283608).

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

3682079440 is a wasteful number, since it uses less digits than its factorization.

3682079440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540487 (or 3540481 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 3682079440 is about 60680.1404085389. The cubic root of 3682079440 is about 1544.1792703512.

The spelling of 3682079440 in words is "three billion, six hundred eighty-two million, seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3540461 7080922 14161844 17702305 28323688 35404610 46025993 56647376 70809220 92051986 141618440 184103972 230129965 283236880 368207944 460259930 736415888 920519860 1841039720 3682079440