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3468135328 = 25722211821
BaseRepresentation
bin1100111010110111…
…1000101110100000
322221200220112021121
43032231320232200
524100320312303
61332050102024
7151641443500
oct31655705640
98850815247
103468135328
11151a743449
1280957a914
134336909a8
1424c865a00
151547159bd
hexceb78ba0

3468135328 has 36 divisors (see below), whose sum is σ = 7942652802. Its totient is φ = 1486343040.

The previous prime is 3468135301. The next prime is 3468135343. The reversal of 3468135328 is 8235318643.

It can be written as a sum of positive squares in only one way, i.e., 2773918224 + 694217104 = 52668^2 + 26348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1104343 + ... + 1107478.

Almost surely, 23468135328 is an apocalyptic number.

It is an amenable number.

3468135328 is an abundant number, since it is smaller than the sum of its proper divisors (4474517474).

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

3468135328 is a wasteful number, since it uses less digits than its factorization.

3468135328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211845 (or 2211830 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 3468135328 is about 58890.8764410923. The cubic root of 3468135328 is about 1513.6728170744.

The spelling of 3468135328 in words is "three billion, four hundred sixty-eight million, one hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2211821 4423642 8847284 15482747 17694568 30965494 35389136 61930988 70778272 108379229 123861976 216758458 247723952 433516916 495447904 867033832 1734067664 3468135328