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14303040 = 263547317
BaseRepresentation
bin110110100011…
…111101000000
3222220200002020
4312203331000
512130144130
61230321440
7232400553
oct66437500
928820066
1014303040
11808a0a4
124959280
132c6a34b
141c8469a
1513c7e10
hexda3f40

14303040 has 112 divisors (see below), whose sum is σ = 46524672. Its totient is φ = 3721216.

The previous prime is 14303039. The next prime is 14303041. The reversal of 14303040 is 4030341.

14303040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14303039) and next prime (14303041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14303041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44962 + ... + 45278.

Almost surely, 214303040 is an apocalyptic number.

14303040 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 14303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23262336).

14303040 is an abundant number, since it is smaller than the sum of its proper divisors (32221632).

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

14303040 is a wasteful number, since it uses less digits than its factorization.

14303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 14303040 is about 3781.9360121504. The cubic root of 14303040 is about 242.7408030673.

Adding to 14303040 its reverse (4030341), we get a palindrome (18333381).

The spelling of 14303040 in words is "fourteen million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 317 320 376 470 480 564 634 705 752 940 951 960 1128 1268 1410 1504 1585 1880 1902 2256 2536 2820 3008 3170 3760 3804 4512 4755 5072 5640 6340 7520 7608 9024 9510 10144 11280 12680 14899 15040 15216 19020 20288 22560 25360 29798 30432 38040 44697 45120 50720 59596 60864 74495 76080 89394 101440 119192 148990 152160 178788 223485 238384 297980 304320 357576 446970 476768 595960 715152 893940 953536 1191920 1430304 1787880 2383840 2860608 3575760 4767680 7151520 14303040