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3678716240 = 245251183203
BaseRepresentation
bin1101101101000100…
…1100000101010000
3100111101011010222122
43123101030011100
530013222404430
61405011353412
7160106400143
oct33321140520
910441133878
103678716240
1116185a2a61
12867bb2868
134681b1094
1426c80005a
15167e5eee5
hexdb44c150

3678716240 has 40 divisors (see below), whose sum is σ = 8587137888. Its totient is φ = 1465616000.

The previous prime is 3678716213. The next prime is 3678716297. The reversal of 3678716240 is 426178763.

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

It is a junction number, because it is equal to n+sod(n) for n = 3678716191 and 3678716200.

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 7 ways as a sum of consecutive naturals, for example, 71522 + ... + 111681.

Almost surely, 23678716240 is an apocalyptic number.

It is an amenable number.

3678716240 is an abundant number, since it is smaller than the sum of its proper divisors (4908421648).

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

3678716240 is a wasteful number, since it uses less digits than its factorization.

3678716240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183467 (or 183461 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 3678716240 is about 60652.4215509983. The cubic root of 3678716240 is about 1543.7089776070.

The spelling of 3678716240 in words is "three billion, six hundred seventy-eight million, seven hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 502 1004 1255 2008 2510 4016 5020 10040 20080 183203 366406 732812 916015 1465624 1832030 2931248 3664060 7328120 14656240 45983953 91967906 183935812 229919765 367871624 459839530 735743248 919679060 1839358120 3678716240