Search a number
-
+
13484352 = 263779127
BaseRepresentation
bin110011011100…
…000101000000
3221101002001110
4303130011000
511422444402
61201003320
7222420660
oct63340500
927332043
1013484352
11767aaa2
124623540
132a4180b
141b101a0
1512b556c
hexcdc140

13484352 has 112 divisors (see below), whose sum is σ = 41615360. Its totient is φ = 3773952.

The previous prime is 13484311. The next prime is 13484389. The reversal of 13484352 is 25348431.

It is a tau number, because it is divible by the number of its divisors (112).

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, 106113 + ... + 106239.

Almost surely, 213484352 is an apocalyptic number.

13484352 is a gapful number since it is divisible by the number (12) 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 13484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807680).

13484352 is an abundant number, since it is smaller than the sum of its proper divisors (28131008).

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

13484352 is a wasteful number, since it uses less digits than its factorization.

13484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 13484352 is about 3672.1045736743. The cubic root of 13484352 is about 238.0181235169.

The spelling of 13484352 in words is "thirteen million, four hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 127 158 168 192 224 237 254 316 336 381 448 474 508 553 632 672 762 889 948 1016 1106 1264 1344 1524 1659 1778 1896 2032 2212 2528 2667 3048 3318 3556 3792 4064 4424 5056 5334 6096 6636 7112 7584 8128 8848 10033 10668 12192 13272 14224 15168 17696 20066 21336 24384 26544 28448 30099 35392 40132 42672 53088 56896 60198 70231 80264 85344 106176 120396 140462 160528 170688 210693 240792 280924 321056 421386 481584 561848 642112 842772 963168 1123696 1685544 1926336 2247392 3371088 4494784 6742176 13484352