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2434943480 = 235196747819
BaseRepresentation
bin1001000100100010…
…0100100111111000
320021200202221111212
42101020210213320
514441321142410
61041341142252
7114224451404
oct22110444770
96250687455
102434943480
11103a50a092
1257b55a988
132ca601a78
14191558104
15e3b79b05
hex912249f8

2434943480 has 64 divisors (see below), whose sum is σ = 5853168000. Its totient is φ = 908924544.

The previous prime is 2434943477. The next prime is 2434943491. The reversal of 2434943480 is 843494342.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27011 + ... + 74829.

It is an arithmetic number, because the mean of its divisors is an integer number (91455750).

Almost surely, 22434943480 is an apocalyptic number.

2434943480 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 2434943480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926584000).

2434943480 is an abundant number, since it is smaller than the sum of its proper divisors (3418224520).

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

2434943480 is a wasteful number, since it uses less digits than its factorization.

2434943480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47916 (or 47912 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The square root of 2434943480 is about 49345.1464685231. The cubic root of 2434943480 is about 1345.3324827674.

The spelling of 2434943480 in words is "two billion, four hundred thirty-four million, nine hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 268 335 380 536 670 760 1273 1340 2546 2680 5092 6365 10184 12730 25460 47819 50920 95638 191276 239095 382552 478190 908561 956380 1817122 1912760 3203873 3634244 4542805 6407746 7268488 9085610 12815492 16019365 18171220 25630984 32038730 36342440 60873587 64077460 121747174 128154920 243494348 304367935 486988696 608735870 1217471740 2434943480