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2328002740 = 225731953337
BaseRepresentation
bin1000101011000010…
…1000000010110100
320000020112210101201
42022300220002310
514231432041430
61023001102244
7111455461000
oct21260500264
96006483351
102328002740
11a95107a08
1254b787984
132b13cb01b
1418127b700
15d95a38ca
hex8ac280b4

2328002740 has 192 divisors, whose sum is σ = 6132672000. Its totient is φ = 739694592.

The previous prime is 2328002737. The next prime is 2328002801. The reversal of 2328002740 is 472008232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2328002699 and 2328002708.

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 63 ways as a sum of consecutive naturals, for example, 6907852 + ... + 6908188.

It is an arithmetic number, because the mean of its divisors is an integer number (31941000).

Almost surely, 22328002740 is an apocalyptic number.

2328002740 is a gapful number since it is divisible by the number (20) 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 2328002740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336000).

2328002740 is an abundant number, since it is smaller than the sum of its proper divisors (3804669260).

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

2328002740 is a wasteful number, since it uses less digits than its factorization.

2328002740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2328002740 is about 48249.3807214144. The cubic root of 2328002740 is about 1325.3415974600.

The spelling of 2328002740 in words is "two billion, three hundred twenty-eight million, two thousand, seven hundred forty".