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3673370340 = 2232520407613
BaseRepresentation
bin1101101011110011…
…0010111011100100
3100111000002112210100
43122330302323210
530010340322330
61404301024100
7160013063343
oct33274627344
910430075710
103673370340
111615581562
12866255030
1346705ba23
1426bc0bb5a
15167756060
hexdaf32ee4

3673370340 has 36 divisors (see below), whose sum is σ = 11142557244. Its totient is φ = 979565376.

The previous prime is 3673370317. The next prime is 3673370383. The reversal of 3673370340 is 430733763.

It can be written as a sum of positive squares in 2 ways, for example, as 903242916 + 2770127424 = 30054^2 + 52632^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3673370295 and 3673370304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10203627 + ... + 10203986.

It is an arithmetic number, because the mean of its divisors is an integer number (309515479).

Almost surely, 23673370340 is an apocalyptic number.

3673370340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3673370340 is an abundant number, since it is smaller than the sum of its proper divisors (7469186904).

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

3673370340 is a wasteful number, since it uses less digits than its factorization.

3673370340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20407628 (or 20407623 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 36.

The square root of 3673370340 is about 60608.3355653329. The cubic root of 3673370340 is about 1542.9608439262.

The spelling of 3673370340 in words is "three billion, six hundred seventy-three million, three hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20407613 40815226 61222839 81630452 102038065 122445678 183668517 204076130 244891356 306114195 367337034 408152260 612228390 734674068 918342585 1224456780 1836685170 3673370340