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13034322 = 2327314771
BaseRepresentation
bin110001101110…
…001101010010
3220112012201200
4301232031102
511314044242
61143212030
7215534640
oct61561522
926465650
1013034322
1173a2974
124447016
132914a22
141a34190
15122704c
hexc6e352

13034322 has 96 divisors (see below), whose sum is σ = 34504704. Its totient is φ = 3477600.

The previous prime is 13034309. The next prime is 13034327. The reversal of 13034322 is 22343031.

13034322 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 13034295 and 13034304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183547 + ... + 183617.

It is an arithmetic number, because the mean of its divisors is an integer number (359424).

Almost surely, 213034322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13034322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252352).

13034322 is an abundant number, since it is smaller than the sum of its proper divisors (21470382).

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

13034322 is a wasteful number, since it uses less digits than its factorization.

13034322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 161 counting only the distinct ones).

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

The square root of 13034322 is about 3610.3077431155. The cubic root of 13034322 is about 235.3402164408.

Adding to 13034322 its reverse (22343031), we get a palindrome (35377353).

It can be divided in two parts, 1303 and 4322, that added together give a square (5625 = 752).

The spelling of 13034322 in words is "thirteen million, thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 47 62 63 71 93 94 126 141 142 186 213 217 279 282 329 423 426 434 497 558 639 651 658 846 987 994 1278 1302 1457 1491 1953 1974 2201 2914 2961 2982 3337 3906 4371 4402 4473 5922 6603 6674 8742 8946 10011 10199 13113 13206 15407 19809 20022 20398 23359 26226 30033 30597 30814 39618 46221 46718 60066 61194 70077 91791 92442 103447 138663 140154 183582 206894 210231 277326 310341 420462 620682 724129 931023 1448258 1862046 2172387 4344774 6517161 13034322