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1345516304 = 2411151197257
BaseRepresentation
bin101000000110010…
…1111001100010000
310110202211022101012
41100030233030100
510223423010204
6341303030052
745225462026
oct12014571420
93422738335
101345516304
11630566350
1231673b328
131859b35c2
14ca9ac716
157d1d176e
hex5032f310

1345516304 has 80 divisors (see below), whose sum is σ = 2888493696. Its totient is φ = 602112000.

The previous prime is 1345516301. The next prime is 1345516409. The reversal of 1345516304 is 4036155431.

It is not an unprimeable number, because it can be changed into a prime (1345516301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5235344 + ... + 5235600.

Almost surely, 21345516304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345516304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444246848).

1345516304 is an abundant number, since it is smaller than the sum of its proper divisors (1542977392).

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

1345516304 is a wasteful number, since it uses less digits than its factorization.

1345516304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 1345516304 is about 36681.2800212861. The cubic root of 1345516304 is about 1103.9845312192.

The spelling of 1345516304 in words is "one billion, three hundred forty-five million, five hundred sixteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 151 176 197 257 302 394 514 604 788 1028 1208 1576 1661 2056 2167 2416 2827 3152 3322 4112 4334 5654 6644 8668 11308 13288 17336 22616 26576 29747 34672 38807 45232 50629 59494 77614 101258 118988 155228 202516 237976 310456 327217 405032 426877 475952 556919 620912 654434 810064 853754 1113838 1308868 1707508 2227676 2617736 3415016 4455352 5235472 6830032 7644979 8910704 15289958 30579916 61159832 84094769 122319664 168189538 336379076 672758152 1345516304