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2330340144 = 2431117259619
BaseRepresentation
bin1000101011100110…
…0010101100110000
320000101221112201020
42022321202230300
514233031341034
61023123135440
7111514364406
oct21271425460
96011845636
102330340144
11a96464050
12550514580
132b1a38bc2
141816c9476
15d98b6249
hex8ae62b30

2330340144 has 80 divisors (see below), whose sum is σ = 6953662080. Its totient is φ = 664622080.

The previous prime is 2330340113. The next prime is 2330340157. The reversal of 2330340144 is 4410430332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120834 + ... + 138785.

It is an arithmetic number, because the mean of its divisors is an integer number (86920776).

Almost surely, 22330340144 is an apocalyptic number.

2330340144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2330340144 is an abundant number, since it is smaller than the sum of its proper divisors (4623321936).

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

2330340144 is a wasteful number, since it uses less digits than its factorization.

2330340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259658 (or 259652 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2330340144 is about 48273.5967584766. The cubic root of 2330340144 is about 1325.7850136820.

Adding to 2330340144 its reverse (4410430332), we get a palindrome (6740770476).

The spelling of 2330340144 in words is "two billion, three hundred thirty million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 259619 519238 778857 1038476 1557714 2076952 2855809 3115428 4153904 4413523 5711618 6230856 8567427 8827046 11423236 12461712 13240569 17134854 17654092 22846472 26481138 34269708 35308184 45692944 48548753 52962276 68539416 70616368 97097506 105924552 137078832 145646259 194195012 211849104 291292518 388390024 582585036 776780048 1165170072 2330340144