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2340045450 = 234525211109
BaseRepresentation
bin1000101101111010…
…0100001010001010
320001002012121220000
42023132210022022
514243022423300
61024111143430
7111663025641
oct21336441212
96032177800
102340045450
11aa0992866
12553814b76
132b3a565a2
14182ad4358
15da681c00
hex8b7a428a

2340045450 has 120 divisors (see below), whose sum is σ = 6520213260. Its totient is φ = 622252800.

The previous prime is 2340045443. The next prime is 2340045457. The reversal of 2340045450 is 545400432.

It is an interprime number because it is at equal distance from previous prime (2340045443) and next prime (2340045457).

It can be written as a sum of positive squares in 6 ways, for example, as 96412761 + 2243632689 = 9819^2 + 47367^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2340045457) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2109496 + ... + 2110604.

Almost surely, 22340045450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340045450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260106630).

2340045450 is an abundant number, since it is smaller than the sum of its proper divisors (4180167810).

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

2340045450 is a wasteful number, since it uses less digits than its factorization.

2340045450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2340045450 is about 48374.0162690674. The cubic root of 2340045450 is about 1327.6229896583.

Adding to 2340045450 its reverse (545400432), we get a palindrome (2885445882).

The spelling of 2340045450 in words is "two billion, three hundred forty million, forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 521 675 810 1042 1109 1350 1563 2025 2218 2605 3126 3327 4050 4689 5210 5545 6654 7815 9378 9981 11090 13025 14067 15630 16635 19962 23445 26050 27725 28134 29943 33270 39075 42201 46890 49905 55450 59886 70335 78150 83175 84402 89829 99810 117225 140670 149715 166350 179658 211005 234450 249525 299430 351675 422010 449145 499050 577789 703350 748575 898290 1055025 1155578 1497150 1733367 2110050 2245725 2888945 3466734 4491450 5200101 5777890 8666835 10400202 14444725 15600303 17333670 26000505 28889450 31200606 43334175 46800909 52001010 78001515 86668350 93601818 130002525 156003030 234004545 260005050 390007575 468009090 780015150 1170022725 2340045450