Search a number
-
+
104272344 = 233211312137
BaseRepresentation
bin1100011011100…
…01000111011000
321021012120202200
412031301013120
5203143203334
614202530200
72404205001
oct615610730
9237176680
10104272344
115394a3a0
122ab06960
13187ab317
14dbc41a8
15924a799
hex63711d8

104272344 has 144 divisors (see below), whose sum is σ = 320659560. Its totient is φ = 30355200.

The previous prime is 104272331. The next prime is 104272349. The reversal of 104272344 is 443272401.

104272344 is a `hidden beast` number, since 1 + 0 + 427 + 234 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104272349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761044 + ... + 761180.

Almost surely, 2104272344 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 104272344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160329780).

104272344 is an abundant number, since it is smaller than the sum of its proper divisors (216387216).

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

104272344 is a wasteful number, since it uses less digits than its factorization.

104272344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 104272344 is about 10211.3830600952. The cubic root of 104272344 is about 470.6770745486.

The spelling of 104272344 in words is "one hundred four million, two hundred seventy-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 137 186 198 248 264 274 279 341 372 396 411 548 558 682 744 792 822 961 1023 1096 1116 1233 1364 1507 1644 1922 2046 2232 2466 2728 2883 3014 3069 3288 3844 4092 4247 4521 4932 5766 6028 6138 7688 8184 8494 8649 9042 9864 10571 11532 12056 12276 12741 13563 16988 17298 18084 21142 23064 24552 25482 27126 31713 33976 34596 36168 38223 42284 46717 50964 54252 63426 69192 76446 84568 93434 95139 101928 108504 126852 131657 140151 152892 186868 190278 253704 263314 280302 305784 373736 380556 394971 420453 526628 560604 761112 789942 840906 1053256 1121208 1184913 1448227 1579884 1681812 2369826 2896454 3159768 3363624 4344681 4739652 5792908 8689362 9479304 11585816 13034043 17378724 26068086 34757448 52136172 104272344