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2434730540 = 2251121006087
BaseRepresentation
bin1001000100011111…
…0000101000101100
320021200101010102012
42101013300220230
514441242334130
61041332420352
7114222603524
oct22107605054
96250333365
102434730540
11103a384100
1257b4776b8
132ca558b78
14191500684
15e3b36995
hex911f0a2c

2434730540 has 36 divisors (see below), whose sum is σ = 5620007568. Its totient is φ = 885355680.

The previous prime is 2434730539. The next prime is 2434730561. The reversal of 2434730540 is 450374342.

It is a junction number, because it is equal to n+sod(n) for n = 2434730497 and 2434730506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500624 + ... + 505463.

Almost surely, 22434730540 is an apocalyptic number.

2434730540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434730540 is an abundant number, since it is smaller than the sum of its proper divisors (3185277028).

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

2434730540 is a wasteful number, since it uses less digits than its factorization.

2434730540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006118 (or 1006105 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 2434730540 is about 49342.9887623358. The cubic root of 2434730540 is about 1345.2932644101.

The spelling of 2434730540 in words is "two billion, four hundred thirty-four million, seven hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 1006087 2012174 4024348 5030435 10060870 11066957 20121740 22133914 44267828 55334785 110669570 121736527 221339140 243473054 486946108 608682635 1217365270 2434730540