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14349240 = 23325231733
BaseRepresentation
bin110110101111…
…001110111000
31000000000110100
4312233032320
512133133430
61231315400
7232652343
oct66571670
930000410
1014349240
118110884
12497bb60
132c85399
141c9745a
1513d6960
hexdaf3b8

14349240 has 96 divisors (see below), whose sum is σ = 48690720. Its totient is φ = 3657984.

The previous prime is 14349227. The next prime is 14349253. The reversal of 14349240 is 4294341.

It is an interprime number because it is at equal distance from previous prime (14349227) and next prime (14349253).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7414 + ... + 9146.

It is an arithmetic number, because the mean of its divisors is an integer number (507195).

Almost surely, 214349240 is an apocalyptic number.

14349240 is a gapful number since it is divisible by the number (10) 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 14349240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24345360).

14349240 is an abundant number, since it is smaller than the sum of its proper divisors (34341480).

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

14349240 is a wasteful number, since it uses less digits than its factorization.

14349240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14349240 is about 3788.0390705482. The cubic root of 14349240 is about 243.0018797802.

The spelling of 14349240 in words is "fourteen million, three hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 1733 2070 2760 3466 4140 5199 6932 8280 8665 10398 13864 15597 17330 20796 25995 31194 34660 39859 41592 51990 62388 69320 77985 79718 103980 119577 124776 155970 159436 199295 207960 239154 311940 318872 358731 398590 478308 597885 623880 717462 797180 956616 1195770 1434924 1594360 1793655 2391540 2869848 3587310 4783080 7174620 14349240