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3714134760 = 2332572364081
BaseRepresentation
bin1101110101100001…
…0011001011101000
3100120211210121001200
43131120103023220
530101304303020
61412314444200
7161016424140
oct33530231350
910524717050
103714134760
111636594466
12877a33660
1347263249b
142733bd920
1516b109590
hexdd6132e8

3714134760 has 192 divisors, whose sum is σ = 14395380480. Its totient is φ = 812021760.

The previous prime is 3714134759. The next prime is 3714134791. The reversal of 3714134760 is 674314173.

3714134760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25920 + ... + 90000.

It is an arithmetic number, because the mean of its divisors is an integer number (74975940).

Almost surely, 23714134760 is an apocalyptic number.

3714134760 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 3714134760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197690240).

3714134760 is an abundant number, since it is smaller than the sum of its proper divisors (10681245720).

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

3714134760 is a wasteful number, since it uses less digits than its factorization.

3714134760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64128 (or 64121 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3714134760 is about 60943.7015613591. The cubic root of 3714134760 is about 1548.6474166333.

The spelling of 3714134760 in words is "three billion, seven hundred fourteen million, one hundred thirty-four thousand, seven hundred sixty".