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13974408 = 23327217233
BaseRepresentation
bin110101010011…
…101110001000
3222021222021200
4311103232020
512034140113
61215304200
7226531500
oct65235610
928258250
1013974408
1179851a8
12481b060
132b838a6
141bdaa00
151360873
hexd53b88

13974408 has 144 divisors (see below), whose sum is σ = 46816380. Its totient is φ = 3741696.

The previous prime is 13974407. The next prime is 13974437. The reversal of 13974408 is 80447931.

It is a happy number.

13974408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13972644 + 1764 = 3738^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13974403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59860 + ... + 60092.

Almost surely, 213974408 is an apocalyptic number.

13974408 is a gapful number since it is divisible by the number (18) 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 13974408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408190).

13974408 is an abundant number, since it is smaller than the sum of its proper divisors (32841972).

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

13974408 is a wasteful number, since it uses less digits than its factorization.

13974408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13974408 is about 3738.2359476095. The cubic root of 13974408 is about 240.8672788391.

It can be divided in two parts, 139 and 74408, that added together give a palindrome (74547).

The spelling of 13974408 in words is "thirteen million, nine hundred seventy-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 233 238 252 294 306 357 392 408 441 466 476 504 588 612 699 714 833 882 932 952 1071 1176 1224 1398 1428 1631 1666 1764 1864 2097 2142 2499 2796 2856 3262 3332 3528 3961 4194 4284 4893 4998 5592 6524 6664 7497 7922 8388 8568 9786 9996 11417 11883 13048 14679 14994 15844 16776 19572 19992 22834 23766 27727 29358 29988 31688 34251 35649 39144 45668 47532 55454 58716 59976 68502 71298 83181 91336 95064 102753 110908 117432 137004 142596 166362 194089 205506 221816 249543 274008 285192 332724 388178 411012 499086 582267 665448 776356 822024 998172 1164534 1552712 1746801 1996344 2329068 3493602 4658136 6987204 13974408