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13034304 = 263319397
BaseRepresentation
bin110001101110…
…001101000000
3220112012201000
4301232031000
511314044204
61143212000
7215534613
oct61561500
926465630
1013034304
1173a2958
124447000
132914a0a
141a3417a
151227039
hexc6e340

13034304 has 112 divisors (see below), whose sum is σ = 40436800. Its totient is φ = 4105728.

The previous prime is 13034303. The next prime is 13034309. The reversal of 13034304 is 40343031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32634 + ... + 33030.

Almost surely, 213034304 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 13034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20218400).

13034304 is an abundant number, since it is smaller than the sum of its proper divisors (27402496).

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

13034304 is a wasteful number, since it uses less digits than its factorization.

13034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

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

The square root of 13034304 is about 3610.3052502524. The cubic root of 13034304 is about 235.3401081082.

Adding to 13034304 its reverse (40343031), we get a palindrome (53377335).

The spelling of 13034304 in words is "thirteen million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 397 432 456 513 576 608 684 794 864 912 1026 1191 1216 1368 1588 1728 1824 2052 2382 2736 3176 3573 3648 4104 4764 5472 6352 7146 7543 8208 9528 10719 10944 12704 14292 15086 16416 19056 21438 22629 25408 28584 30172 32832 38112 42876 45258 57168 60344 67887 76224 85752 90516 114336 120688 135774 171504 181032 203661 228672 241376 271548 343008 362064 407322 482752 543096 686016 724128 814644 1086192 1448256 1629288 2172384 3258576 4344768 6517152 13034304