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14354928 = 2433747101
BaseRepresentation
bin110110110000…
…100111110000
31000000022021000
4312300213300
512133324203
61231402000
7233005050
oct66604760
930008230
1014354928
118115085
124983300
132c87b53
141c99560
1513d84a3
hexdb09f0

14354928 has 160 divisors (see below), whose sum is σ = 48568320. Its totient is φ = 3974400.

The previous prime is 14354917. The next prime is 14354957. The reversal of 14354928 is 82945341.

14354928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 14354892 and 14354901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142078 + ... + 142178.

It is an arithmetic number, because the mean of its divisors is an integer number (303552).

Almost surely, 214354928 is an apocalyptic number.

14354928 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 14354928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

14354928 is an abundant number, since it is smaller than the sum of its proper divisors (34213392).

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

14354928 is a wasteful number, since it uses less digits than its factorization.

14354928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 14354928 is about 3788.7897803916. The cubic root of 14354928 is about 243.0339839683.

The spelling of 14354928 in words is "fourteen million, three hundred fifty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 101 108 112 126 141 144 168 188 189 202 216 252 282 303 329 336 376 378 404 423 432 504 564 606 658 707 752 756 808 846 909 987 1008 1128 1212 1269 1316 1414 1512 1616 1692 1818 1974 2121 2256 2424 2538 2632 2727 2828 2961 3024 3384 3636 3948 4242 4747 4848 5076 5264 5454 5656 5922 6363 6768 7272 7896 8484 8883 9494 10152 10908 11312 11844 12726 14241 14544 15792 16968 17766 18988 19089 20304 21816 23688 25452 28482 33229 33936 35532 37976 38178 42723 43632 47376 50904 56964 66458 71064 75952 76356 85446 99687 101808 113928 128169 132916 142128 152712 170892 199374 227856 256338 265832 299061 305424 341784 398748 512676 531664 598122 683568 797496 897183 1025352 1196244 1594992 1794366 2050704 2392488 3588732 4784976 7177464 14354928