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3674352240 = 2433513197197
BaseRepresentation
bin1101101100000010…
…0010101001110000
3100111001221102201000
43123000202221300
530011113232430
61404334042000
7160024323126
oct33300425160
910431842630
103674352240
111616092249
12866649300
13467313930
1426bdc5916
1516789be60
hexdb022a70

3674352240 has 640 divisors, whose sum is σ = 14699059200. Its totient is φ = 836075520.

The previous prime is 3674352217. The next prime is 3674352251. The reversal of 3674352240 is 422534763.

3674352240 is a `hidden beast` number, since 3 + 67 + 4 + 352 + 240 = 666.

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 = 3674352195 and 3674352204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37879872 + ... + 37879968.

It is an arithmetic number, because the mean of its divisors is an integer number (22967280).

Almost surely, 23674352240 is an apocalyptic number.

3674352240 is a gapful number since it is divisible by the number (30) 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 3674352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349529600).

3674352240 is an abundant number, since it is smaller than the sum of its proper divisors (11024706960).

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

3674352240 is a wasteful number, since it uses less digits than its factorization.

3674352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3674352240 is about 60616.4353950313. The cubic root of 3674352240 is about 1543.0983106250.

The spelling of 3674352240 in words is "three billion, six hundred seventy-four million, three hundred fifty-two thousand, two hundred forty".