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2431384680 = 2335103919501
BaseRepresentation
bin1001000011101011…
…1111110001101000
320021110002010202110
42100322333301220
514434413302210
61041133002320
7114152300034
oct22072776150
96243063673
102431384680
1110384a932a
1257a3233a0
132c9956c7a
14190cad1c4
15e36c5420
hex90ebfc68

2431384680 has 64 divisors (see below), whose sum is σ = 7301548800. Its totient is φ = 647712000.

The previous prime is 2431384673. The next prime is 2431384687. The reversal of 2431384680 is 864831342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2431384673) and next prime (2431384687).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2431384687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 114930 + ... + 134430.

It is an arithmetic number, because the mean of its divisors is an integer number (114086700).

Almost surely, 22431384680 is an apocalyptic number.

2431384680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431384680 is an abundant number, since it is smaller than the sum of its proper divisors (4870164120).

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

2431384680 is a wasteful number, since it uses less digits than its factorization.

2431384680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20554 (or 20550 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2431384680 is about 49309.0729987900. The cubic root of 2431384680 is about 1344.6767380925.

The spelling of 2431384680 in words is "two billion, four hundred thirty-one million, three hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1039 2078 3117 4156 5195 6234 8312 10390 12468 15585 19501 20780 24936 31170 39002 41560 58503 62340 78004 97505 117006 124680 156008 195010 234012 292515 390020 468024 585030 780040 1170060 2340120 20261539 40523078 60784617 81046156 101307695 121569234 162092312 202615390 243138468 303923085 405230780 486276936 607846170 810461560 1215692340 2431384680