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3748111380 = 22345131719229
BaseRepresentation
bin1101111101100111…
…1010010000010100
3100200012201210020000
43133121322100110
530134004031010
61415531011300
7161611264266
oct33731722024
910605653200
103748111380
111653790612
12887299b30
1347969a4b0
14277b05b36
1516e0bb7c0
hexdf67a414

3748111380 has 720 divisors, whose sum is σ = 14637989520. Its totient is φ = 794271744.

The previous prime is 3748111369. The next prime is 3748111417. The reversal of 3748111380 is 831118473.

It can be written as a sum of positive squares in 8 ways, for example, as 42224004 + 3705887376 = 6498^2 + 60876^2 .

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 129245206 + ... + 129245234.

It is an arithmetic number, because the mean of its divisors is an integer number (20330541).

Almost surely, 23748111380 is an apocalyptic number.

3748111380 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 3748111380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318994760).

3748111380 is an abundant number, since it is smaller than the sum of its proper divisors (10889878140).

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

3748111380 is a wasteful number, since it uses less digits than its factorization.

3748111380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 3748111380 is about 61221.8211097971. The cubic root of 3748111380 is about 1553.3553922258.

The spelling of 3748111380 in words is "three billion, seven hundred forty-eight million, one hundred eleven thousand, three hundred eighty".