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13432734 = 23271931181
BaseRepresentation
bin110011001111…
…011110011110
3221021110020200
4303033132132
511414321414
61155524330
7222114330
oct63173636
927243220
1013432734
117645237
1245b96a6
132a24183
141ad9450
1512a5109
hexccf79e

13432734 has 96 divisors (see below), whose sum is σ = 36341760. Its totient is φ = 3499200.

The previous prime is 13432729. The next prime is 13432747. The reversal of 13432734 is 43723431.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13432698 and 13432707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74124 + ... + 74304.

It is an arithmetic number, because the mean of its divisors is an integer number (378560).

Almost surely, 213432734 is an apocalyptic number.

13432734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13432734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170880).

13432734 is an abundant number, since it is smaller than the sum of its proper divisors (22909026).

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

13432734 is a wasteful number, since it uses less digits than its factorization.

13432734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 13432734 is about 3665.0694399970. The cubic root of 13432734 is about 237.7140246163.

The spelling of 13432734 in words is "thirteen million, four hundred thirty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 181 186 217 266 279 342 362 399 434 543 558 589 651 798 1086 1178 1197 1267 1302 1629 1767 1953 2394 2534 3258 3439 3534 3801 3906 4123 5301 5611 6878 7602 8246 10317 10602 11222 11403 12369 16833 20634 22806 24073 24738 30951 33666 37107 39277 48146 50499 61902 72219 74214 78554 100998 106609 117831 144438 213218 216657 235662 319827 353493 433314 639654 706986 746263 959481 1492526 1918962 2238789 4477578 6716367 13432734