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3682194336 = 25337096011
BaseRepresentation
bin1101101101111001…
…1101001110100000
3100111121200212001000
43123132131032200
530020120204321
61405214112000
7160151064312
oct33336351640
910447625030
103682194336
11161a559117
128691ab600
13468b2b222
1426d0677b2
151683ea826
hexdb79d3a0

3682194336 has 96 divisors (see below), whose sum is σ = 10756670400. Its totient is φ = 1225463040.

The previous prime is 3682194331. The next prime is 3682194337. The reversal of 3682194336 is 6334912863.

3682194336 is a `hidden beast` number, since 368 + 219 + 43 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3682194291 and 3682194300.

It is not an unprimeable number, because it can be changed into a prime (3682194331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609571 + ... + 615581.

It is an arithmetic number, because the mean of its divisors is an integer number (112048650).

Almost surely, 23682194336 is an apocalyptic number.

3682194336 is a gapful number since it is divisible by the number (36) 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 3682194336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378335200).

3682194336 is an abundant number, since it is smaller than the sum of its proper divisors (7074476064).

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

3682194336 is a wasteful number, since it uses less digits than its factorization.

3682194336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6725 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 3682194336 is about 60681.0871359438. The cubic root of 3682194336 is about 1544.1953317624.

The spelling of 3682194336 in words is "three billion, six hundred eighty-two million, one hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 709 864 1418 2127 2836 4254 5672 6011 6381 8508 11344 12022 12762 17016 18033 19143 22688 24044 25524 34032 36066 38286 48088 51048 54099 68064 72132 76572 96176 102096 108198 144264 153144 162297 192352 204192 216396 288528 306288 324594 432792 577056 612576 649188 865584 1298376 1731168 2596752 4261799 5193504 8523598 12785397 17047196 25570794 34094392 38356191 51141588 68188784 76712382 102283176 115068573 136377568 153424764 204566352 230137146 306849528 409132704 460274292 613699056 920548584 1227398112 1841097168 3682194336