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3714050880 = 263852961
BaseRepresentation
bin1101110101011111…
…1110101101000000
3100120211122100000000
43131113332231000
530101244112010
61412313000000
7161015624451
oct33527765500
910524570000
103714050880
111636537441
128779b3000
13472603257
1427339b128
1516b0de7c0
hexdd5feb40

3714050880 has 504 divisors, whose sum is σ = 13947846120. Its totient is φ = 940584960.

The previous prime is 3714050869. The next prime is 3714050939. The reversal of 3714050880 is 880504173.

3714050880 is a `hidden beast` number, since 3 + 7 + 140 + 508 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 3710271744 = 1944^2 + 60912^2 .

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 60886050 + ... + 60886110.

Almost surely, 23714050880 is an apocalyptic number.

3714050880 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 3714050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973923060).

3714050880 is an abundant number, since it is smaller than the sum of its proper divisors (10233795240).

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

3714050880 is an frugal number, since it uses more digits than its factorization.

3714050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3714050880 is about 60943.0133813549. The cubic root of 3714050880 is about 1548.6357583305.

The spelling of 3714050880 in words is "three billion, seven hundred fourteen million, fifty thousand, eight hundred eighty".