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3674316240 = 24325723291093
BaseRepresentation
bin1101101100000001…
…1001110111010000
3100111001212121022200
43123000121313100
530011111104430
61404333203200
7160024113150
oct33300316720
910431777280
103674316240
1116160681a1
12866630500
1346730042a
1426bdb6760
15167891460
hexdb019dd0

3674316240 has 480 divisors, whose sum is σ = 15236881920. Its totient is φ = 774918144.

The previous prime is 3674316193. The next prime is 3674316241. The reversal of 3674316240 is 426134763.

It is a happy number.

3674316240 is a `hidden beast` number, since 36 + 74 + 316 + 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 = 3674316195 and 3674316204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3674316241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3361134 + ... + 3362226.

It is an arithmetic number, because the mean of its divisors is an integer number (31743504).

Almost surely, 23674316240 is an apocalyptic number.

3674316240 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 3674316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618440960).

3674316240 is an abundant number, since it is smaller than the sum of its proper divisors (11562565680).

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

3674316240 is a wasteful number, since it uses less digits than its factorization.

3674316240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3674316240 is about 60616.1384451369. The cubic root of 3674316240 is about 1543.0932710319.

The spelling of 3674316240 in words is "three billion, six hundred seventy-four million, three hundred sixteen thousand, two hundred forty".