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13234032 = 2432719691
BaseRepresentation
bin110010011110…
…111101110000
3220220100200100
4302132331300
511341442112
61151352400
7220326120
oct62367560
926810610
1013234032
117519a19
124522700
1329848b6
141a86c80
1512662dc
hexc9ef70

13234032 has 120 divisors (see below), whose sum is σ = 44620160. Its totient is φ = 3576960.

The previous prime is 13234027. The next prime is 13234043. The reversal of 13234032 is 23043231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13233996 and 13234014.

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, 18807 + ... + 19497.

Almost surely, 213234032 is an apocalyptic number.

13234032 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 13234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22310080).

13234032 is an abundant number, since it is smaller than the sum of its proper divisors (31386128).

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

13234032 is a wasteful number, since it uses less digits than its factorization.

13234032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13234032 is about 3637.8609099304. The cubic root of 13234032 is about 236.5360790742.

Adding to 13234032 its reverse (23043231), we get a palindrome (36277263).

The spelling of 13234032 in words is "thirteen million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 691 798 912 1008 1064 1197 1368 1382 1596 2073 2128 2394 2736 2764 3192 4146 4788 4837 5528 6219 6384 8292 9576 9674 11056 12438 13129 14511 16584 19152 19348 24876 26258 29022 33168 38696 39387 43533 49752 52516 58044 77392 78774 87066 91903 99504 105032 116088 118161 157548 174132 183806 210064 232176 236322 275709 315096 348264 367612 472644 551418 630192 696528 735224 827127 945288 1102836 1470448 1654254 1890576 2205672 3308508 4411344 6617016 13234032