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14374668 = 22371147331
BaseRepresentation
bin110110110101…
…011100001100
31000001022100010
4312311130030
512134442133
61232033220
7233116440
oct66653414
930038303
1014374668
1181289a0
124992810
132c93b29
141ca2820
1513de263
hexdb570c

14374668 has 96 divisors (see below), whose sum is σ = 42835968. Its totient is φ = 3643200.

The previous prime is 14374667. The next prime is 14374699. The reversal of 14374668 is 86647341.

It is a super-2 number, since 2×143746682 = 413262160220448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14374663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43263 + ... + 43593.

It is an arithmetic number, because the mean of its divisors is an integer number (446208).

Almost surely, 214374668 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 14374668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21417984).

14374668 is an abundant number, since it is smaller than the sum of its proper divisors (28461300).

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

14374668 is a wasteful number, since it uses less digits than its factorization.

14374668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 14374668 is about 3791.3939389095. The cubic root of 14374668 is about 243.1453346592.

It can be divided in two parts, 1437 and 4668, that added together give a triangular number (6105 = T110).

The spelling of 14374668 in words is "fourteen million, three hundred seventy-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 331 462 517 564 658 662 924 987 993 1034 1316 1324 1551 1974 1986 2068 2317 3102 3619 3641 3948 3972 4634 6204 6951 7238 7282 9268 10857 10923 13902 14476 14564 15557 21714 21846 25487 27804 31114 43428 43692 46671 50974 62228 76461 93342 101948 108899 152922 171127 186684 217798 305844 326697 342254 435596 513381 653394 684508 1026762 1197889 1306788 2053524 2395778 3593667 4791556 7187334 14374668