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14407704 = 23321779149
BaseRepresentation
bin110110111101…
…100000011000
31000002222122200
4312331200120
512142021304
61232450200
7233314653
oct66754030
930088580
1014407704
1181507a3
1249a9960
132ca5b8c
141cb089a
1513e8e39
hexdbd818

14407704 has 96 divisors (see below), whose sum is σ = 42120000. Its totient is φ = 4432896.

The previous prime is 14407699. The next prime is 14407711. The reversal of 14407704 is 40770441.

14407704 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 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, 96622 + ... + 96770.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 214407704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14407704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060000).

14407704 is an abundant number, since it is smaller than the sum of its proper divisors (27712296).

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

14407704 is a wasteful number, since it uses less digits than its factorization.

14407704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 14407704 is about 3795.7481475988. The cubic root of 14407704 is about 243.3314584622.

The spelling of 14407704 in words is "fourteen million, four hundred seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 79 102 136 149 153 158 204 237 298 306 316 408 447 474 596 612 632 711 894 948 1192 1224 1341 1343 1422 1788 1896 2533 2682 2686 2844 3576 4029 5066 5364 5372 5688 7599 8058 10132 10728 10744 11771 12087 15198 16116 20264 22797 23542 24174 30396 32232 35313 45594 47084 48348 60792 70626 91188 94168 96696 105939 141252 182376 200107 211878 282504 400214 423756 600321 800428 847512 1200642 1600856 1800963 2401284 3601926 4802568 7203852 14407704