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14330320 = 2451741257
BaseRepresentation
bin110110101010…
…100111010000
3222222001111121
4312222213100
512132032240
61231052024
7232543234
oct66524720
928861447
1014330320
1180a8644
124971014
132c798a4
141c905c4
1513d104a
hexdaa9d0

14330320 has 80 divisors (see below), whose sum is σ = 36278928. Its totient is φ = 5242880.

The previous prime is 14330317. The next prime is 14330341. The reversal of 14330320 is 2303341.

14330320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 222784 + 14107536 = 472^2 + 3756^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14330294 and 14330303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55632 + ... + 55888.

Almost surely, 214330320 is an apocalyptic number.

14330320 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 14330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139464).

14330320 is an abundant number, since it is smaller than the sum of its proper divisors (21948608).

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

14330320 is a wasteful number, since it uses less digits than its factorization.

14330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 14330320 is about 3785.5409124721. The cubic root of 14330320 is about 242.8950305035.

Adding to 14330320 its reverse (2303341), we get a palindrome (16633661).

The spelling of 14330320 in words is "fourteen million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 257 272 328 340 410 514 656 680 697 820 1028 1285 1360 1394 1640 2056 2570 2788 3280 3485 4112 4369 5140 5576 6970 8738 10280 10537 11152 13940 17476 20560 21074 21845 27880 34952 42148 43690 52685 55760 69904 84296 87380 105370 168592 174760 179129 210740 349520 358258 421480 716516 842960 895645 1433032 1791290 2866064 3582580 7165160 14330320