Search a number
-
+
3389478912 = 2113361297
BaseRepresentation
bin1100101000000111…
…0101100000000000
322202012220100222000
43022001311200000
523420201311122
61320200144000
7146665044501
oct31201654000
98665810860
103389478912
11148a2aa746
127a7168000
134202b1031
1424222cba8
1514c87a0ac
hexca075800

3389478912 has 96 divisors (see below), whose sum is σ = 10040612400. Its totient is φ = 1129807872.

The previous prime is 3389478901. The next prime is 3389478929. The reversal of 3389478912 is 2198749833.

3389478912 is a `hidden beast` number, since 3 + 3 + 89 + 478 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33894789122 = 22977134589785407488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24648 + ... + 85944.

Almost surely, 23389478912 is an apocalyptic number.

3389478912 is a gapful number since it is divisible by the number (32) 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 3389478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020306200).

3389478912 is an abundant number, since it is smaller than the sum of its proper divisors (6651133488).

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

3389478912 is an equidigital number, since it uses as much as digits as its factorization.

3389478912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61328 (or 61302 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 3389478912 is about 58219.2314617773. The cubic root of 3389478912 is about 1502.1419638713.

The spelling of 3389478912 in words is "three billion, three hundred eighty-nine million, four hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 61297 122594 183891 245188 367782 490376 551673 735564 980752 1103346 1471128 1655019 1961504 2206692 2942256 3310038 3923008 4413384 5884512 6620076 7846016 8826768 11769024 13240152 15692032 17653536 23538048 26480304 31384064 35307072 47076096 52960608 62768128 70614144 94152192 105921216 125536256 141228288 188304384 211842432 282456576 376608768 423684864 564913152 847369728 1129826304 1694739456 3389478912