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2434493412 = 2232135201909
BaseRepresentation
bin1001000100011011…
…0110101111100100
320021122221002010200
42101012312233210
514441212242122
61041323350500
7114220565301
oct22106665744
96248832120
102434493412
11103a231a2a
1257b382430
132ca4a4c60
1419147c0a8
15e3adb5ac
hex911b6be4

2434493412 has 36 divisors (see below), whose sum is σ = 6627233340. Its totient is φ = 749074752.

The previous prime is 2434493393. The next prime is 2434493417. The reversal of 2434493412 is 2143944342.

2434493412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 748241316 + 1686252096 = 27354^2 + 41064^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2434493417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2600487 + ... + 2601422.

It is an arithmetic number, because the mean of its divisors is an integer number (184089815).

Almost surely, 22434493412 is an apocalyptic number.

It is an amenable number.

2434493412 is an abundant number, since it is smaller than the sum of its proper divisors (4192739928).

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

2434493412 is a wasteful number, since it uses less digits than its factorization.

2434493412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201932 (or 5201927 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2434493412 is about 49340.5858497850. The cubic root of 2434493412 is about 1345.2495885217.

The spelling of 2434493412 in words is "two billion, four hundred thirty-four million, four hundred ninety-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5201909 10403818 15605727 20807636 31211454 46817181 62422908 67624817 93634362 135249634 187268724 202874451 270499268 405748902 608623353 811497804 1217246706 2434493412