Search a number
-
+
2704104 = 233513107
BaseRepresentation
bin1010010100001011101000
312002101100000
422110023220
51143012404
6133543000
731661454
oct12241350
95071300
102704104
1115876a7
12aa4a60
13738a80
14505664
15386339
hex2942e8

2704104 has 96 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 824256.

The previous prime is 2704103. The next prime is 2704109. The reversal of 2704104 is 4014072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2704103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25219 + ... + 25325.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

22704104 is an apocalyptic number.

2704104 is a gapful number since it is divisible by the number (24) 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 2704104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2704104 is an abundant number, since it is smaller than the sum of its proper divisors (5551416).

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

2704104 is a wasteful number, since it uses less digits than its factorization.

2704104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2704104 is about 1644.4160057601. The cubic root of 2704104 is about 139.3181814424.

Adding to 2704104 its reverse (4014072), we get a palindrome (6718176).

The spelling of 2704104 in words is "two million, seven hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 107 108 117 156 162 214 216 234 243 312 321 324 351 428 468 486 642 648 702 856 936 963 972 1053 1284 1391 1404 1926 1944 2106 2568 2782 2808 2889 3159 3852 4173 4212 5564 5778 6318 7704 8346 8424 8667 11128 11556 12519 12636 16692 17334 23112 25038 25272 26001 33384 34668 37557 50076 52002 69336 75114 100152 104004 112671 150228 208008 225342 300456 338013 450684 676026 901368 1352052 2704104