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3299813136 = 243247872
BaseRepresentation
bin1100010010101111…
…0010011100010000
322111222011212122100
43010223302130100
523224223010021
61303234240400
7144525643314
oct30453623420
98458155570
103299813136
1114437274a4
12781126100
13407848269
1423436bb44
15144a67626
hexc4af2710

3299813136 has 45 divisors (see below), whose sum is σ = 9236823271. Its totient is φ = 1099707936.

The previous prime is 3299813129. The next prime is 3299813141. The reversal of 3299813136 is 6313189923.

The square root of 3299813136 is 57444.

It is a perfect power (a square), and thus also a powerful number.

3299813136 is a `hidden beast` number, since 329 + 9 + 8 + 1 + 313 + 6 = 666.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3299813091 and 3299813100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 686935 + ... + 691721.

Almost surely, 23299813136 is an apocalyptic number.

3299813136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3299813136 is the 57444-th square number.

It is an amenable number.

3299813136 is an abundant number, since it is smaller than the sum of its proper divisors (5937010135).

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

3299813136 is an frugal number, since it uses more digits than its factorization.

3299813136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588 (or 4792 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The cubic root of 3299813136 is about 1488.7774509930. Note that the first 3 decimals are identical.

The spelling of 3299813136 in words is "three billion, two hundred ninety-nine million, eight hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4787 9574 14361 19148 28722 38296 43083 57444 76592 86166 114888 172332 229776 344664 689328 22915369 45830738 68746107 91661476 137492214 183322952 206238321 274984428 366645904 412476642 549968856 824953284 1099937712 1649906568 3299813136