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1104214314 = 237223612677
BaseRepresentation
bin100000111010000…
…1111100100101010
32211221202220021110
41001310033210222
54230134324224
6301323051150
736235444500
oct10164174452
92757686243
101104214314
11517333615
12269970ab6
131479c7c68
14a6918670
1566e19929
hex41d0f92a

1104214314 has 96 divisors (see below), whose sum is σ = 2725646976. Its totient is φ = 296714880.

The previous prime is 1104214313. The next prime is 1104214339. The reversal of 1104214314 is 4134124011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1104214313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411144 + ... + 413820.

It is an arithmetic number, because the mean of its divisors is an integer number (28392156).

Almost surely, 21104214314 is an apocalyptic number.

1104214314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104214314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362823488).

1104214314 is an abundant number, since it is smaller than the sum of its proper divisors (1621432662).

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

1104214314 is a wasteful number, since it uses less digits than its factorization.

1104214314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1104214314 is about 33229.7203418867. The cubic root of 1104214314 is about 1033.5967241397.

Adding to 1104214314 its reverse (4134124011), we get a palindrome (5238338325).

The spelling of 1104214314 in words is "one billion, one hundred four million, two hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 61 69 98 122 138 147 161 183 294 322 366 427 483 854 966 1127 1281 1403 2254 2562 2677 2806 2989 3381 4209 5354 5978 6762 8031 8418 8967 9821 16062 17934 18739 19642 29463 37478 56217 58926 61571 68747 112434 123142 131173 137494 163297 184713 206241 262346 326594 369426 393519 412482 430997 489891 787038 861994 979782 1143079 1292991 2286158 2585982 3016979 3429237 3755831 6033958 6858474 7511662 8001553 9050937 11267493 16003106 18101874 22534986 24004659 26290817 48009318 52581634 78872451 157744902 184035719 368071438 552107157 1104214314