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14734440 = 2333571949
BaseRepresentation
bin111000001101…
…010001101000
31000201120212000
4320031101220
512233000230
61243451000
7236145360
oct70152150
930646760
1014734440
118354226
124b26a60
13308b806
141d579a0
151460b60
hexe0d468

14734440 has 128 divisors (see below), whose sum is σ = 56160000. Its totient is φ = 3366144.

The previous prime is 14734411. The next prime is 14734451. The reversal of 14734440 is 4443741.

It is a super-2 number, since 2×147344402 = 434207444227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6586 + ... + 8534.

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

Almost surely, 214734440 is an apocalyptic number.

14734440 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 14734440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080000).

14734440 is an abundant number, since it is smaller than the sum of its proper divisors (41425560).

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

14734440 is a wasteful number, since it uses less digits than its factorization.

14734440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 14734440 is about 3838.5465999516. The cubic root of 14734440 is about 245.1571392306.

The spelling of 14734440 in words is "fourteen million, seven hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 1949 2520 3780 3898 5847 7560 7796 9745 11694 13643 15592 17541 19490 23388 27286 29235 35082 38980 40929 46776 52623 54572 58470 68215 70164 77960 81858 87705 105246 109144 116940 122787 136430 140328 163716 175410 204645 210492 233880 245574 263115 272860 327432 350820 368361 409290 420984 491148 526230 545720 613935 701640 736722 818580 982296 1052460 1227870 1473444 1637160 1841805 2104920 2455740 2946888 3683610 4911480 7367220 14734440