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3124387840 = 2135717641
BaseRepresentation
bin1011101000111010…
…0110000000000000
322001202002100101011
42322032212000000
522344320402330
61234010250304
7140265600310
oct27216460000
98052070334
103124387840
1113636a9912
12732426994
133aa3b6702
14218d45440
1513446482a
hexba3a6000

3124387840 has 224 divisors, whose sum is σ = 9087453504. Its totient is φ = 1006632960.

The previous prime is 3124387837. The next prime is 3124387867. The reversal of 3124387840 is 487834213.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3124387793 and 3124387802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4873920 + ... + 4874560.

Almost surely, 23124387840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3124387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543726752).

3124387840 is an abundant number, since it is smaller than the sum of its proper divisors (5963065664).

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

3124387840 is an equidigital number, since it uses as much as digits as its factorization.

3124387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 3124387840 is about 55896.2238438340. The cubic root of 3124387840 is about 1461.9133979816.

The spelling of 3124387840 in words is "three billion, one hundred twenty-four million, three hundred eighty-seven thousand, eight hundred forty".