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3146002860 = 22357311131069
BaseRepresentation
bin1011101110000100…
…0011000110101100
322010020202111121110
42323201003012230
522420334042420
61240101432020
7140650404000
oct27341030654
98106674543
103146002860
111374922570
1273970b610
133b1a13c70
1421bb70700
151362d3ee0
hexbb8431ac

3146002860 has 384 divisors, whose sum is σ = 12079872000. Its totient is φ = 602864640.

The previous prime is 3146002831. The next prime is 3146002861. The reversal of 3146002860 is 682006413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3146002861) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2942406 + ... + 2943474.

It is an arithmetic number, because the mean of its divisors is an integer number (31458000).

Almost surely, 23146002860 is an apocalyptic number.

3146002860 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 3146002860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039936000).

3146002860 is an abundant number, since it is smaller than the sum of its proper divisors (8933869140).

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

3146002860 is a wasteful number, since it uses less digits than its factorization.

3146002860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3146002860 is about 56089.2401446124. The cubic root of 3146002860 is about 1465.2769044854.

The spelling of 3146002860 in words is "three billion, one hundred forty-six million, two thousand, eight hundred sixty".