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2434004540 = 2251122773631
BaseRepresentation
bin1001000100010011…
…1111011000111100
320021122000020112022
42101010333120330
514441101121130
61041305055312
7114213461102
oct22104773074
96248006468
102434004540
111039a28700
1257b187538
132ca363596
14191391c72
15e3a417e5
hex9113f63c

2434004540 has 72 divisors (see below), whose sum is σ = 5640161856. Its totient is φ = 881654400.

The previous prime is 2434004537. The next prime is 2434004543. The reversal of 2434004540 is 454004342.

2434004540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2434004537) and next prime (2434004543).

It is a super-2 number, since 2×24340045402 = 11848756201481223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434004543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668525 + ... + 672155.

Almost surely, 22434004540 is an apocalyptic number.

2434004540 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 2434004540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820080928).

2434004540 is an abundant number, since it is smaller than the sum of its proper divisors (3206157316).

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

2434004540 is a wasteful number, since it uses less digits than its factorization.

2434004540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2434004540 is about 49335.6315455676. The cubic root of 2434004540 is about 1345.1595357165.

Adding to 2434004540 its reverse (454004342), we get a palindrome (2888008882).

The spelling of 2434004540 in words is "two billion, four hundred thirty-four million, four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 277 484 554 605 1108 1210 1385 2420 2770 3047 3631 5540 6094 7262 12188 14524 15235 18155 30470 33517 36310 39941 60940 67034 72620 79882 134068 159764 167585 199705 335170 399410 439351 670340 798820 878702 1005787 1757404 2011574 2196755 4023148 4393510 5028935 8787020 10057870 11063657 20115740 22127314 44254628 55318285 110636570 121700227 221273140 243400454 486800908 608501135 1217002270 2434004540