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2330132040 = 233258377983
BaseRepresentation
bin1000101011100010…
…1111111001001000
320000101112222020200
42022320233321020
514233003211130
61023114452200
7111512536605
oct21270577110
96011488220
102330132040
11a96331765
12550434060
132b1995272
141816736ac
15d9874760
hex8ae2fe48

2330132040 has 96 divisors (see below), whose sum is σ = 7664267520. Its totient is φ = 613874304.

The previous prime is 2330132011. The next prime is 2330132053. The reversal of 2330132040 is 402310332.

2330132040 is a `hidden beast` number, since 2 + 3 + 301 + 320 + 40 = 666.

2330132040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9112 + ... + 68871.

It is an arithmetic number, because the mean of its divisors is an integer number (79836120).

Almost surely, 22330132040 is an apocalyptic number.

2330132040 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 2330132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832133760).

2330132040 is an abundant number, since it is smaller than the sum of its proper divisors (5334135480).

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

2330132040 is a wasteful number, since it uses less digits than its factorization.

2330132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78083 (or 78076 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2330132040 is about 48271.4412463519. The cubic root of 2330132040 is about 1325.7455474295.

Adding to 2330132040 its reverse (402310332), we get a palindrome (2732442372).

The spelling of 2330132040 in words is "two billion, three hundred thirty million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2988 3320 3735 4980 5976 7470 9960 14940 29880 77983 155966 233949 311932 389915 467898 623864 701847 779830 935796 1169745 1403694 1559660 1871592 2339490 2807388 3119320 3509235 4678980 5614776 6472589 7018470 9357960 12945178 14036940 19417767 25890356 28073880 32362945 38835534 51780712 58253301 64725890 77671068 97088835 116506602 129451780 155342136 194177670 233013204 258903560 291266505 388355340 466026408 582533010 776710680 1165066020 2330132040