Search a number
-
+
6734208 = 273131971
BaseRepresentation
bin11001101100000110000000
3110200010121010
4121230012000
53210443313
6400200520
7111145155
oct31540600
913603533
106734208
11388a568
122309140
13151a250
14c7422c
158d04c3
hex66c180

6734208 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 1935360.

The previous prime is 6734191. The next prime is 6734213. The reversal of 6734208 is 8024376.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94813 + ... + 94883.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 26734208 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 6734208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

6734208 is an abundant number, since it is smaller than the sum of its proper divisors (13828992).

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

6734208 is a wasteful number, since it uses less digits than its factorization.

6734208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6734208 is about 2595.0352598761. The cubic root of 6734208 is about 188.8406596333.

The spelling of 6734208 in words is "six million, seven hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 71 76 78 96 104 114 128 142 152 156 192 208 213 228 247 284 304 312 384 416 426 456 494 568 608 624 741 832 852 912 923 988 1136 1216 1248 1349 1482 1664 1704 1824 1846 1976 2272 2432 2496 2698 2769 2964 3408 3648 3692 3952 4047 4544 4992 5396 5538 5928 6816 7296 7384 7904 8094 9088 10792 11076 11856 13632 14768 15808 16188 17537 21584 22152 23712 27264 29536 31616 32376 35074 43168 44304 47424 52611 59072 64752 70148 86336 88608 94848 105222 118144 129504 140296 172672 177216 210444 259008 280592 354432 420888 518016 561184 841776 1122368 1683552 2244736 3367104 6734208