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23407104 = 29372311
BaseRepresentation
bin101100101001…
…0101000000000
31122001012111210
41121102220000
521443011404
62153410120
7402646200
oct131225000
948035453
1023407104
1112238116
127a09940
134b07176
143174400
1520c5689
hex1652a00

23407104 has 120 divisors (see below), whose sum is σ = 72772128. Its totient is φ = 6666240.

The previous prime is 23407099. The next prime is 23407117. The reversal of 23407104 is 40170432.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75109 + ... + 75419.

Almost surely, 223407104 is an apocalyptic number.

23407104 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 23407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386064).

23407104 is an abundant number, since it is smaller than the sum of its proper divisors (49365024).

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

23407104 is an equidigital number, since it uses as much as digits as its factorization.

23407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 23407104 is about 4838.0888788860. The cubic root of 23407104 is about 286.0547925079.

Adding to 23407104 its reverse (40170432), we get a palindrome (63577536).

The spelling of 23407104 in words is "twenty-three million, four hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 311 336 384 392 448 512 588 622 672 768 784 896 933 1176 1244 1344 1536 1568 1792 1866 2177 2352 2488 2688 3136 3584 3732 4354 4704 4976 5376 6272 6531 7464 8708 9408 9952 10752 12544 13062 14928 15239 17416 18816 19904 25088 26124 29856 30478 34832 37632 39808 45717 52248 59712 60956 69664 75264 79616 91434 104496 119424 121912 139328 159232 182868 208992 238848 243824 278656 365736 417984 477696 487648 557312 731472 835968 975296 1114624 1462944 1671936 1950592 2925888 3343872 3901184 5851776 7802368 11703552 23407104