Search a number
-
+
4540340244 = 22311194342101
BaseRepresentation
bin1000011101010000…
…00001100000010100
3102201102110011220210
410032220001200110
533244311341434
62030311125420
7220341153366
oct41650014024
912642404823
104540340244
111a1a9a3910
12a68673870
1357485c17b
1431100ad36
151b890aee9
hex10ea01814

4540340244 has 96 divisors (see below), whose sum is σ = 12448719360. Its totient is φ = 1273104000.

The previous prime is 4540340239. The next prime is 4540340257. The reversal of 4540340244 is 4420430454.

It is a super-2 number, since 2×45403402442 = 41229379062571959072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86794 + ... + 128894.

It is an arithmetic number, because the mean of its divisors is an integer number (129674160).

Almost surely, 24540340244 is an apocalyptic number.

4540340244 is a gapful number since it is divisible by the number (44) 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 4540340244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224359680).

4540340244 is an abundant number, since it is smaller than the sum of its proper divisors (7908379116).

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

4540340244 is a wasteful number, since it uses less digits than its factorization.

4540340244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42181 (or 42179 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 4540340244 is about 67382.0468967810. The cubic root of 4540340244 is about 1655.8823094848.

Adding to 4540340244 its reverse (4420430454), we get a palindrome (8960770698).

The spelling of 4540340244 in words is "four billion, five hundred forty million, three hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 43 44 57 66 76 86 114 129 132 172 209 228 258 418 473 516 627 817 836 946 1254 1419 1634 1892 2451 2508 2838 3268 4902 5676 8987 9804 17974 26961 35948 42101 53922 84202 107844 126303 168404 252606 463111 505212 799919 926222 1389333 1599838 1810343 1852444 2399757 2778666 3199676 3620686 4799514 5431029 5557332 7241372 8799109 9599028 10862058 17598218 19913773 21724116 26397327 34396517 35196436 39827546 52794654 59741319 68793034 79655092 103189551 105589308 119482638 137586068 206379102 238965276 378361687 412758204 756723374 1135085061 1513446748 2270170122 4540340244